Algebraic topology Books
Springer Spektrum Topologie
Book Synopsis1 Logische Grundlagen für die Topologie.- 2 Elementare Topologie.- 3 Algebraische Grundlagen.- Teil I.- 4 Einstieg in die algebraische Topologie.- 5 Simpliziale Komplexe.- 6 Algebraische Grundlagen.- Teil II.- 7 Elemente der Homologietheorie.- 8 CW-Komplexe und einige ihrer Anwendungen.- 9 Algebraische Grundlagen.- Teil III.- 10 Kohomologie und die Poincaré-Dualität.- Literaturverzeichnis.- Index.
£32.99
John Wiley & Sons Inc Gâteaux Differentiability of Convex Functions and
Book SynopsisThis text puts together folklore results touching weak Asplund spaces. It presents a thorough examination of weak Asplund cases. Nonseparable Banach spaces, renorming, and differentiability are stressed throughout the text and all subclasses, including inferences and counterexamples are discussed. It also covers Stegall''s classes, fragmentability, and long sequences of linear projections. Notes, remarks and questions end each chapter.Table of ContentsCanonical Examples of Weak Asplund Spaces. Properties of Gateaux Differentiability Spaces and Weak AsplundSpaces. Stegall's Classes. Two More Concrete Classes of Banach Spaces that Lie in . Fragmentability. "Long Sequences" of Linear Projections. Vaak Spaces and Gul'ko Compacta. A Characterization of WCG Spaces and of Eberlein Compacta. Main Open Questions and Problems. References. Index.
£136.76
John Wiley & Sons Inc Functional Analysis An Introduction to Banach
Book SynopsisA powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented.Trade Review"This textbook for a two-semester course in functional analysis presents the basic ideas, techniques, and methods that form the underpinnings of the discipline." (SciTech Book News, Vol. 25, No. 3, September 2001) "...a useful book which helps the student to understand Banach space theory." (Mathematical Reviews, 2003a)Table of ContentsPreface. Introduction. Basic Definitions and Examples. Basic Principles with Applications. Weak Topologies and Applications. Operators on Banach Spaces. Bases in Banach Spaces. Sequences, Series, and a Little Geometry in Banach Spaces. Bibliography. Author/Name Index. Subject Index Symbol Index.
£155.66
John Wiley & Sons Inc Shape and Shape Theory Wiley Series in
Book SynopsisPioneered by David Kendall, the statistical theory of shape is an emerging area generating considerable interest for statisticians, engineers, and computer scientists. Co--written by Dr. Kendall, this volume presents a coherent theory of shape developed from Kendalla s own approach known as static and kinematic theory.Trade Review"This is a fascinating book mixing geometry, topology and probability theory..." (London Mathematical Society Bulletin, Vol 32, 2000) "The potential value that his volume should have to researchers in many areas for years to come." (Short Book Reviews, August 2000) "I would like to conclude this review by strongly recommending that geodists have this book on desk within ready reach of hands" (Journal of Geodesy, Vol. 75, 2001) "...a mathematical jewel..." (Mathematical Reviews, 2003g)Table of ContentsShapes and Shape Spaces. The Global Structure of Shape Spaces. Computing the Homology of Cell Complexes. A Chain Complex for Shape Spaces. The Homology Groups of Shape Spaces. Geodesics in Shape Spaces. The Riemannian Structure of Shape Spaces. Induced Shape-Measures. Mean Shapes and the Shape of the Means. Visualising the Higher Dimensional Shape Spaces. General Shape Spaces. Appendix. Bibliography. Index.
£193.46
Springer-Verlag New York Inc. Graphs on Surfaces Dualities Polynomials and
Book Synopsis Graphs on Surfaces: Dualities, Polynomials, and Knots also provides a self-contained introduction to graphs on surfaces, generalized duals, topological graph polynomials, and knot polynomials that is accessible both to graph theorists and to knot theorists.Trade ReviewFrom the reviews:“Here, the venerable knot-theoretic and graph-theoretic themes find a host of unifying common generalizations. Undergraduates will appreciate the patient and visual development of the foundations, particularly the dualities (paired representations of a single structure). Summing Up: Recommended. Upper-division undergraduates through researchers/faculty.” (D. V. Feldman, Choice, Vol. 51 (7), March, 2014)“This monograph is aimed at researchers both in graph theory and in knot theory. It should be accessible to a graduate student with a grounding in both subjects. There are (colour) diagrams throughout. … The monograph gives a unified treatment of various ideas that have been studied and used previously, generalising many of them in the process.” (Jessica Banks, zbMATH, Vol. 1283, 2014)“The authors have composed a very interesting and valuable work. … For properly prepared readers … the book under review is the occasion for all sorts of fun including the inner life of ribbon groups, Tait graphs, Penrose polynomials, Tutte polynomials, and of course Jones polynomials and HOMFLY polynomials. This is fascinating mathematics, presented in a clear and accessible way.” (Michael Berg, MAA Reviews, October, 2013)Table of Contents1. Embedded Graphs .- 2. Generalised Dualities .- 3. Twisted duality, cycle family graphs, and embedded graph equivalence .- 4. Interactions with Graph Polynomials .- 5. Applications to Knot Theory .- References .- Index .
£56.99
MP-AMM American Mathematical Computational Aspects of Discrete Subgroups of
Book SynopsisPresents the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held in June 2021. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representation of groups and their geometric properties.Table of Contents D. Gabai, R. Meyerhoff, N. Thurston, and A. Yarmola, Enumerating Kleinian groups W. A. de Graaf, Exploring Lie theory with GAP A. S. Detinko, D. L. Flannery, and A. Hulpke, Freeness and $S$-arithmeticity of rational Mobius groups J. Gilman, Computability models: Algebraic, topological and geometric algorithms W. M. Goldman, Compact components of planar surface group representations A. Hulpke, Proving infinite index for a subgroup of matrices M. Kapovich, Geometric algorithms for discreteness and faithfulness M. Kapovich, A. Detinko, and A. Kontorovich, List of problems on discrete subgroups of Lie groups and their computational aspects A. Mark, J. Paupert, and D. Polletta, Picard modular groups generated by complex reflections J. M. Riestenberg, Verifying the straight-and-spaced condition T. N. Venkataramana, Unipotent generators for arithmetic groups
£97.20
MP-AMM American Mathematical Integer and Polynomial Algebra
Book SynopsisOffers a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic number fields, the RSA encryption scheme, and finite fields.Table of Contents The integers Modular arithmetic Diophantine equations and quadratic number domains Codes and factoring Real and complex numbers The ring of polynomials Finite fields Bibliography Index
£52.20
Springer Nature Switzerland AG Elon Lima - Selected Papers
Book SynopsisThis book contains all research papers published by the distinguished Brazilian mathematician Elon Lima. It includes the papers from his PhD thesis on homotopy theory, which are hard to find elsewhere. Elon Lima wrote more than 40 books in the field of topology and dynamical systems. He was a profound mathematician with a genuine vocation to teach and write mathematics.Table of ContentsComments on some mathematical contributions of Elon Lima.- The Spanier-Whitehead duality in new homotopy categories.- Stable Postnikov invariants and their duals.- Commuting vector fields on 2-manifolds.- On the local triviality of the restriction map for embeddings.- Commuting vector fields on S2.- Common singularities of commuting vector fields on 2-manifolds.- Commuting vector fields on S3.- Isometric immersions with semi-definite second quadratic forms.- Immersions of manifolds with non-negative sectional curvatures.- Orientability of smooth hypersurfaces and the Jordan-Brouwer separation theorem.- The Jordan-Brouwer separation theorem for smooth hypersurfaces.
£42.74
Birkhauser Verlag AG Coherent Sheaves, Superconnections, and
Book SynopsisThis monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent sheaves of a compact complex manifold with values in its Bott-Chern cohomology, and the proof of a corresponding Riemann-Roch-Grothendieck theorem. One main tool used is the equivalence of categories established by Block between the derived category of bounded complexes with coherent cohomology and the homotopy category of antiholomorphic superconnections. Chern-Weil theoretic techniques are then used to construct forms that represent the Chern character. The main theorem is then established using methods of analysis, by combining local index theory with the hypoelliptic Laplacian.Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck is an important contribution to both the geometric and analytic study of complex manifolds and, as such, it will be a valuable resource for many researchers in geometry, analysis, and mathematical physics. Table of ContentsIntroduction.- Bott-Chern Cohomology and Characteristic Classes.- The Derived Category ${\mathrm{D^{b}_{\mathrm{coh}}}}$.- Preliminaries on Linear Algebra and Differential Geometry.- The Antiholomorphic Superconnections of Block.- An Equivalence of Categories.- Antiholomorphic Superconnections and Generalized Metrics.- Generalized Metrics and Chern Character Forms.- The Case of Embeddings.- Submersions and Elliptic Superconnections.- Elliptic Superconnection Forms and Direct Images.- A Proof of Theorem 10-1 when $\overline{\partial}^{X}\partial^{X}\omega^{X}=0$..- The Hypoelliptic Superconnections.- The Hypoelliptic Superconnection Forms.- The Hypoelliptic Superconnection Forms when $\overline{\partial}^{X}\partial^{X}\omega^{X}=0$.- Exotic Superconnections and Riemann-Roch-Grothendieck.- Subject Index.- Index of Notation.- Bibliography.
£98.99
Springer Toric Topology and Polyhedral Products
Book SynopsisPreface.- Connected sums of sphere products and minimally non-Golod complexes.- Toric manifolds over 3-polytopes.- Symmetric products and a Cartan-type formula for polyhedral products.- Multiparameter persistent homology via generalized Morse theory.- Compact torus action on the complex Grassmann manifolds.- On the enumeration of Fano Bott manifolds.- Dga models for moment-angle complexes.- Duality in toric topology.- Bundles over connected sums.- The SO(4) Verlinde formula using real polarizations.- GKM graph locally modelled by TnxS1-action on T*Cn and its graph equivariant cohomology.- On the genera of moment-angle manifolds associated to dual-neighborly polytopes: combinatorial formulas and sequences.- Homeomorphic model for the polyhedral smash product of disks and spheres.- Invariance of polarization induced by symplectomorphisms.- Polyhedral products for wheel graphs and their generalizations.- On the cohomology ring of real moment-angle complexes.
£113.99
De Gruyter Algebra in the Stone-Cech Compactification:
Book SynopsisThis is the second revised and extendededition of the successful book on the algebraic structure of the Stone-Čech compactification of a discrete semigroup and its combinatorial applications, primarily in the field known as Ramsey Theory. There has been very active research in the subject dealt with by the book in the 12 years which is now included in this edition. This book is a self-contained exposition of the theory of compact right semigroupsfor discrete semigroups and the algebraic properties of these objects. The methods applied in the book constitute a mosaic of infinite combinatorics, algebra, and topology. The reader will find numerous combinatorial applications of the theory, including the central sets theorem, partition regularity of matrices, multidimensional Ramsey theory, and many more.Trade ReviewThe present book is the first devoted to an extensive study of the algebraic structure of sS and the many applications thereof; it is an exciting book, written - and very well written - by two mathematicians who are eminently qualified two write it, and it is essentially self-contained, requiring only that the reader come to it with the basic concepts of first graduate courses in algebra, analysis and topology. I recommend this book highly; it will be very useful, both to researchers and to students. Its index, list of symbols and up-to-date bibliography are very helpful. Paul Milnes, Zentralblatt MATH / 1998 The authors present a self-contained exposition. The book under review is written by two mathematicians who have contributed in a decisive way to this rapidly expanding area and provides a unique opportunity to obtain a 'colorful' panoramic view of the subject. Michael Tkacenko, MathSciNet / 1999
£64.60
De Gruyter Knots
Book SynopsisThis 3. edition is an introduction to classical knot theory. It contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are developed in detail; only the main properties of fundamental groups and some basic results of combinatorial group theory are assumed to be known.
£123.98
De Gruyter Algebraic Topology
Book Synopsis
£104.02
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Cohomology of Sheaves
Book SynopsisThis text exposes the basic features of cohomology of sheaves and its applications. The general theory of sheaves is very limited and no essential result is obtainable without turn ing to particular classes of topological spaces. The most satis factory general class is that of locally compact spaces and it is the study of such spaces which occupies the central part of this text. The fundamental concepts in the study of locally compact spaces is cohomology with compact support and a particular class of sheaves,the so-called soft sheaves. This class plays a double role as the basic vehicle for the internal theory and is the key to applications in analysis. The basic example of a soft sheaf is the sheaf of smooth functions on ~n or more generally on any smooth manifold. A rather large effort has been made to demon strate the relevance of sheaf theory in even the most elementary analysis. This process has been reversed in order to base the fundamental calculations in sheaf theory on elementary analysis.Table of ContentsI. Homological Algebra.- 1. Exact categories.- 2. Homology of complexes.- 3. Additive categories.- 4. Homotopy theory of complexes.- 5. Abelian categories.- 6. Injective resolutions.- 7. Right derived functors.- 8. Composition products.- 9. Resume of the projective case.- 10. Complexes of free abelian groups.- 11. Sign rules.- II. Sheaf Theory.- 0. Direct limits of abelian groups.- 1. Presheaves and sheaves.- 2. Localization.- 3. Cohomology of sheaves.- 4. Direct and inverse image of sheaves. f*,f*.- 5. Continuous maps and cohomology!,.- 6. Locally closed subspaces, h!h.- 7. Cup products.- 8. Tensor product of sheaves.- 9. Local cohomology.- 10. Cross products.- 11. Flat sheaves.- 12. Hom(E,F).- III. Cohomology with Compact Support.- 1. Locally compact spaces.- 2. Soft sheaves.- 3. Soft sheaves on $$\mathbb {R}$$n.- 4. The exponential sequence.- 5. Cohomology of direct limits.- 6. Proper base change and proper homotopy.- 7. Locally closed subspaces.- 8. Cohomology of the n-sphere.- 9. Dimension of locally compact spaces.- 10. Wilder’s finiteness theorem.- IV. Cohomology and Analysis.- 1. Homotopy invariance of sheaf cohomology.- 2. Locally compact spaces, countable at infinity.- 3. Complex logarithms.- 4. Complex curve integrals. The monodromy theorem.- 5. The inhomogenous Cauchy-Riemann equations.- 6. Existence theorems for analytic functions.- 7. De Rham theorem.- 8. Relative cohomology.- 9. Classification of locally constant sheaves.- V. Duality with Coefficient in a Field.- 1. Sheaves of linear forms.- 2. Verdier duality.- 3. Orientation of topological manifolds.- 4. Submanifolds of $$\mathbb {R}$$n of codimension 1.- 5. Duality for a subspace.- 6. Alexander duality.- 7. Residue theorem for n-1 forms on $$\mathbb {R}$$n.- VI. Poincare Duality with General Coefficients.- 1. Verdier duality.- 2. The dualizing complex D.- 3. Lefschetz duality.- 4. Algebraic duality.- 5. Universal coefficients.- 6. Alexander duality.- VII. Direct Image with Proper Support.- 1. The functor f!.- 2. The Künneth formula.- 3. Global form of Verdier duality.- 4. Covering spaces.- 5. Local form of Verdier duality.- VIII. Characteristic Classes.- 1. Local duality.- 2. Thom class.- 3. Oriented microbundles.- 4. Cohomology of real projective space.- 5. Stiefel-Whitney classes.- 6. Chern classes.- 7. Pontrjagin classes.- IX. Borel Moore Homology.- 1. Proper homotopy invariance.- 2. Restriction maps.- 3. Cap products.- 4. Poincare duality.- 5. Cross products and the Künneth formula.- 6. Diagonal class of an oriented manifold.- 7. Gysin maps.- 8. Lefschetz fixed point formula.- 9. Wu’s formula.- 10. Preservation of numbers.- 11. Trace maps in homology.- X. Application to Algebraic Geometry.- 1. Dimension of algebraic varieties.- 2. The cohomology class of a subvariety.- 3. Homology class of a subvariety.- 4. Intersection theory.- 5. Algebraic families of cycles.- 6. Algebraic cycles and Chern classes.- XI. Derived Categories.- 1. Categories of fractions.- 2. The derived category D (A).- 3. Triangles associated to an exact sequence.- 4. Yoneda extensions.- 5. Octahedra.- 6. Localization.
£85.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Algebraic Operads
Book SynopsisIn many areas of mathematics some “higher operations” are arising. These havebecome so important that several research projects refer to such expressions. Higher operationsform new types of algebras. The key to understanding and comparing them, to creating invariants of their action is operad theory. This is a point of view that is 40 years old in algebraic topology, but the new trend is its appearance in several other areas, such as algebraic geometry, mathematical physics, differential geometry, and combinatorics. The present volume is the first comprehensive and systematic approach to algebraic operads. An operad is an algebraic device that serves to study all kinds of algebras (associative, commutative, Lie, Poisson, A-infinity, etc.) from a conceptual point of view. The book presents this topic with an emphasis on Koszul duality theory. After a modern treatment of Koszul duality for associative algebras, the theory is extended to operads. Applications to homotopy algebra are given, for instance the Homotopy Transfer Theorem. Although the necessary notions of algebra are recalled, readers are expected to be familiar with elementary homological algebra. Each chapter ends with a helpful summary and exercises. A full chapter is devoted to examples, and numerous figures are included. After a low-level chapter on Algebra, accessible to (advanced) undergraduate students, the level increases gradually through the book. However, the authors have done their best to make it suitable for graduate students: three appendices review the basic results needed in order to understand the various chapters. Since higher algebra is becoming essential in several research areas like deformation theory, algebraic geometry, representation theory, differential geometry, algebraic combinatorics, and mathematical physics, the book can also be used as a reference work by researchers.Trade ReviewFrom the reviews:“It is a welcome addition to the existing literature and will, no doubt, become a standard reference for many authors working in this quickly developing field. … it is an impressive piece of work, which gives a comprehensive account of the foundations of the theory of algebraic operads, starting from the most basic notions, such as associative algebras and modules. It will be of interest to a broad swath of mathematicians: from undergraduate students to experts in the field.” (Andrey Yu. Lazarev, Mathematical Reviews, March, 2013)Table of ContentsPreface.- 1.Algebras, coalgebras, homology.- 2.Twisting morphisms.- 3.Koszul duality for associative algebras.- 4.Methods to prove Koszulity of an algebra.- 5.Algebraic operad.- 6 Operadic homological algebra.- 7.Koszul duality of operads.- 8.Methods to prove Koszulity of an operad.- 9.The operads As and A\infty.- 10.Homotopy operadic algebras.- 11.Bar and cobar construction of an algebra over an operad.- 12.(Co)homology of algebras over an operad.- 13.Examples of algebraic operads.- Apendices: A.The symmetric group.- B.Categories.- C.Trees.- References.- Index.- List of Notation.
£104.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Collected Papers - Gesammelte Abhandlungen
Book SynopsisFrom the preface: "Hopf algebras, Hopf fibration of spheres, Hopf-Rinow complete Riemannian manifolds, Hopf theorem on the ends of groups - can one imagine modern mathematics without all this? Many other concepts and methods, fundamental in various mathematical disciplines, also go back directly or indirectly to the work of Heinz Hopf: homological algebra, singularities of vector fields and characteristic classes, group-like spaces, global differential geometry, and the whole algebraisation of topology with its influence on group theory, analysis and algebraic geometry. It is astonishing to realize that this oeuvre of a whole scientific life consists of only about 70 writings. Astonishing also the transparent and clear style, the concreteness of the problems, and how abstract and far-reaching the methods Hopf invented."Trade Review Heinz Hopf (1894-1981) is rightly considered to be one of the outstanding and most influential mathematicians of the XXth century. He was a pioneer in algebraic topology as well as in differential geometry. He is widely known as having studied the ‘Hopf fibration’. The very general abstract notion of Hopf algebra was introduced as tracing in Hopf’s works; he may be considered to have been a forerunner of the creation of homological algebra. He found a noncontractible map of the 3-sphere into the 2-sphere; that result was an essential step towards the concept of ‘Hopf invariant’ and the popularization of the homotopy group notion due to Hurewicz. Heinz Hopf was born in Wroclaw (Breslau), in the then German part of Poland. He studied in his home town, in Heidelberg and in Berlin, visited Göttingen, Princeton University, and finally settled at ETH in Zürich, where he became Weyl’s successor. The Heinz Hopf Selecta published in 1964 contained an important – although far from being complete – part of Hopf’s mathematical production. So this volume presenting Hopf’s collected works is welcome. As one may expect, the organisational achievement by Beno Eckmann, Hopf’s student and friend, is high class. Two important articles are translated from German into English. This book of over 1200 pages featuring 71 items constitutes an essential reference for the development of mathematics during the XXth century. Jean-Paul Pier (Zbl. MATH 980, 01027)Table of ContentsTable of Contents.- List of Publications of Heinz Hopf.- Editor's Preface.- Papers of Heinz Hopf.- Heinz Hopf Selecta.
£52.24
Birkhauser Verlag AG Rigid Germs, the Valuative Tree, and Applications
Book SynopsisThis thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in higher dimensions, e.g. dealing with normal forms for rigid germs, and examples of Kato 3-folds.The local dynamics of holomorphic maps around critical points is still not completely understood, in dimension 2 or higher, due to the richness of the geometry of the critical set for all iterates.In dimension 2, the study of the dynamics induced on a suitable functional space (the valuative tree) allows a classification of such maps up to birational conjugacy, reducing the problem to the special class of rigid germs, where the geometry of the critical set is simple. In some cases, from such dynamical data one can construct special compact complex surfaces, called Kato surfaces, related to some conjectures in complex geometry.Table of ContentsIntroduction.-1.Background.- 2.Dynamics in 2D.- 3.Rigid germs in higher dimension.- 4 Construction of non-Kahler 3-folds.- References.- Index.
£13.99
Springer Verlag, Singapore Leavitt Path Algebras and Classical K-Theory
Book SynopsisThe book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras. Highlighting their significant connection with classical K-theory—which plays an important role in mathematics and its related emerging fields—this book allows readers from diverse mathematical backgrounds to understand and appreciate these structures. The articles on LPAs are mostly of an expository nature and the ones dealing with K-theory provide new proofs and are accessible to interested students and beginners of the field. It is a useful resource for graduate students and researchers working in this field and related areas, such as C*-algebras and symbolic dynamics. Table of ContentsChapter 1. Morita Equivalent Leavitt Path Algebras.- Chapter 2. A survey on the ideal structure of Leavitt path algebras.- Chapter 3. The injective and projective Leavitt complexes.- Chapter 4. Graph C*-algebras.- Chapter 5. Steinberg Algebras.- Chapter 6. Leavitt path algebras.- Chapter 7. Relating the principles of Quillen-Suslin theory.- Chapter 8. Action on Alternating matrices and Compound matrices.- Chapter 9. On the relative Quillen-Suslin Local Global Principle.- Chapter 10. On the non-injectivity of the Vaserstein symbol for real threefolds.- Chapter 11. The quotient Unimodular Vector group is nilpotent.- Chapter 12. Symplectic linearization of an alternating polynomial matrix.- Chapter 13. On a theorem of Suslin.- Chapter 14. On a group structure on unimodular rows of length three over a two dimensional ring.- Chapter 15. On an algebraic analogue of the Mayer-Vietoris sequence.- Chapter 16. On the completability of unimodular rows of length three.- Chapter 17. Sandwich classification for classical-like groups over commutative rings.- Chapter 18. A Survey on applications of K-theory in affine algebraic geometry.- Chapter 19. On the non-infectivity of the Vaserstein Symbol in dimension three.- Chapter 20. A survey on affine monoids and K-theory.- Chapter 21. A Survey on the elementary orthogonal groups.
£116.99
Springer Lefschetz Properties
Book SynopsisSurvey articles about specific topics.- Jordan types and relation with WLP/SLP.- Unexpected objects, connections with Lefschetz properties and special sets of points.- Combinatorial aspects.- Working group on Perazzo hypersurfaces Hilbert functions, WLP, Jordan types.
£142.49
Cambridge University Press Ends of Complexes 123 Cambridge Tracts in Mathematics Series Number 123
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£48.44
Cambridge University Press Algebraic L Theory Toplocl Manifld 102 Cambridge Tracts in Mathematics Series Number 102
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£50.95
Cambridge University Press Cellular Structures in Topology 19 Cambridge Studies in Advanced Mathematics Series Number 19
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£58.40
Cambridge University Press Fibrewise Topology 91 Cambridge Tracts in Mathematics Series Number 91
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£36.09
Cambridge University Press The Selected Works of J. Frank Adams Volume II
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£63.64
Cambridge University Press LMS 86 Topological Topics Articles on Algebra and Topology Presented to Professor P J Hilton in Celebration of his Sixtieth Birthday London Lecture Note Series Series Number 86
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£45.16
Cambridge University Press LMS 93 Aspects of Topology In Memory of Hugh Dowker 19121982 London Mathematical Society Lecture Note Series Series Number 93
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£87.39
Cambridge University Press Algebraic Homotopy 15 Cambridge Studies in Advanced Mathematics Series Number 15
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£133.95
Cambridge University Press Representations and Cohomology Volume 1 Basic Representation Theory of Finite Groups and Associative Algebras Cambridge Studies in Advanced Mathematics Series Number 30
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£100.70
Cambridge University Press 2Knots and their Groups 5 Australian Mathematical Society Lecture Series Series Number 5
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£35.14
Cambridge University Press LMS 139 Advances in Homoptopy Thry Papers in Honour of I M James Cortona 1988 London Mathematical Society Lecture Note Series Series Number 139
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£47.63
Cambridge University Press Introduction to Uniform Spaces 144 London Mathematical Society Lecture Note Series Series Number 144
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£50.95
Cambridge University Press Algebraic Ltheory and Topological Manifolds 102 Cambridge Tracts in Mathematics Series Number 102
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£122.55
Cambridge University Press LMS 175 Adams Memorial Alge Vol 1 Volume 1 London Mathematical Society Lecture Note Series Series Number 175
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£65.86
Cambridge University Press LMS 176 Adams Memorial Alge vol 2 Volume 2 London Mathematical Society Lecture Note Series Series Number 176
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£65.86
Cambridge University Press Supermanifolds Cambridge Monographs on Mathematical Physics
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£59.22
Cambridge University Press Cohomology of Drinfeld Modular Varieties Part 2 Automorphic Forms Trace Formulas and Langlands Correspondence Cambridge Studies in Advanced Mathematics Series Number 56
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£122.55
Cambridge University Press Lectures on Vector Bundles 54 Cambridge Studies in Advanced Mathematics Series Number 54
Book SynopsisThis work consists of two courses on the moduli spaces of vector bundles. The first is introductory, and assumes very little background; the second is more advanced and takes the reader into current areas of research. This a treatment of vector bundles that will be welcomed by experienced algebraic geometers and novices alike.Trade Review'The whole book is well written and is a valuable addition to the literature … It is essential purchase for all libraries maintaining a collection in algebraic geometry, and strongly recommended for individual researchers and graduate students with an interest in vector bundles.' Peter Newstead, Bulletin of the London Mathematical SocietyTable of ContentsPart I. Vector Bundles On Algebraic Curves: 1. Generalities; 2. The Riemann-Roch formula; 3. Topological; 4. The Hilbert scheme; 5. Semi-stability; 6. Invariant geometry; 7. The construction of M(r,d); 8. Study of M(r,d); Part II. Moduli Spaces Of Semi-Stable Sheaves On The Projective Plane; 9. Introduction; 10. Operations on semi-stable sheaves; 11. Restriction to curves; 12. Bogomolov's theorem; 13. Bounded families; 14. The construction of the moduli space; 15. Differential study of the Shatz stratification; 16. The conditions for existence; 17. The irreducibility; 18. The Picard group; Bibliography.
£131.10
Cambridge University Press LMS 227 Novikov Conjectures v2 Volume 2 London Mathematical Society Lecture Note Series Series Number 227
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£50.99
Cambridge University Press LMS 226 Novikov Conjectures v1 Oberwolfach 1993 London Mathematical Society Lecture Note Series Series Number 226
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£50.95
Cambridge University Press Vector Bundles in Algebraic Geometry 208 London Mathematical Society Lecture Note Series Series Number 208
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£50.99
Cambridge University Press Introduction to Compact Riemann Surfaces and Dessins dEnfants 79 London Mathematical Society Student Texts Series Number 79
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£100.70
Cambridge University Press Ends of Complexes
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£122.55
Cambridge University Press From Calculus to Cohomology De Rham Cohomology and Characteristic Classes
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£44.99
Cambridge University Press pAutomorphisms of Finite pGroups
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£55.09
Cambridge University Press The Theory of Cluster Sets
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£36.09
Cambridge University Press Representations and Cohomology v2 Volume 2 Cohomology of Groups and Modules Cambridge Studies in Advanced Mathematics Series Number 31
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£54.14
Cambridge University Press Representations and Cohomology v1 Volume 1 Basic Representation Theory of Finite Groups and Associative Algebras Cambridge Studies in Advanced Mathematics Series Number 30
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£48.44
Cambridge University Press Algebraic Cycles and Motives 344 London
Book SynopsisThese two volumes provide a self-contained account of research on algebraic cycles and motives. Twenty-two contributions from leading figures survey the key research strands, including: Abel-Jacobi/regulator maps and normal functions; Voevodsky's triangulated category of mixed motives; conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups.Table of ContentsPart II. Research Articles: 8. Beilinson's Hodge conjecture with coefficients M. Asakura and S. Saito; 9. On the splitting of the Bloch-Beilinson filtration A. Beauville; 10. Künneth projectors S. Bloch and H. Esnault; 11. The Brill-Noether curve of a stable bundle on a genus two curve S. Brivio and A. Verra; 12. On Tannaka duality for vector bundles on p-adic curves C. Deninger and A. Werner; 13. On finite-dimensional motives and Murre's conjecture U. Jannsen; 14. On the transcendental part of the motive of a surface B. Kahn, J. P. Murre and C. Pedrini; 15. A note on finite dimensional motives S. I. Kimura; 16. Real regulators on Milnor complexes, II J. D. Lewis; 17. Motives for Picard modular surfaces A. Miller, S. Müller-Stach, S. Wortmann, Y.-H.Yang, K. Zuo; 18. The regulator map for complete intersections J. Nagel; 19. Hodge number polynomials for nearby and vanishing cohomology C. Peters and J. Steenbrink; 20. Direct image of logarithmic complexes M. Saito; 21. Mordell-Weil lattices of certain elliptic K3's T. Shioda; 22. Motives from diffraction J. Stienstra.
£61.71
