Description

Book Synopsis
The concepts of a spin manifold, spinor fields, Dirac operators, and A-genera are presented comprehensively in this book. It also features the development of the theory of Cl-linear elliptic operators and the associated index theorem, which connects certain subtle spin-corbordism invariants to classical questions in geometry.

Table of Contents
*Frontmatter, pg. i*Contents, pg. vii*Preface, pg. ix*Acknowledgments, pg. xii*Introduction, pg. 1*I. Clifford Algebras, Spin Groups and Their Representations, pg. 7*II. Spin Geometry and the Dirac Operators, pg. 77*III. Index Theorems, pg. 166*IV. Applications in Geometry and Topology, pg. 278*Appendix A. Principal G-Bundles, pg. 370*Appendix B. Classifying Spaces and Characteristic Classes, pg. 376*Appendix C. Orientation Classes and Thom Isomorphisms in K-Theory, pg. 384*Appendix D. Spin'-Manifolds, pg. 390*Bibliography, pg. 402*Index, pg. 417*Notation Index, pg. 425

Spin Geometry

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    A Hardback by H. Blaine Lawson, Marie-Louise Michelsohn

    4 in stock

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      Publisher: Princeton University Press
      Publication Date: Publication Date: 21/02/1990
      ISBN13: 9780691085425, 978-0691085425
      ISBN10: 0691085420
      Also in:
      Mathematics

      Description

      Book Synopsis
      The concepts of a spin manifold, spinor fields, Dirac operators, and A-genera are presented comprehensively in this book. It also features the development of the theory of Cl-linear elliptic operators and the associated index theorem, which connects certain subtle spin-corbordism invariants to classical questions in geometry.

      Table of Contents
      *Frontmatter, pg. i*Contents, pg. vii*Preface, pg. ix*Acknowledgments, pg. xii*Introduction, pg. 1*I. Clifford Algebras, Spin Groups and Their Representations, pg. 7*II. Spin Geometry and the Dirac Operators, pg. 77*III. Index Theorems, pg. 166*IV. Applications in Geometry and Topology, pg. 278*Appendix A. Principal G-Bundles, pg. 370*Appendix B. Classifying Spaces and Characteristic Classes, pg. 376*Appendix C. Orientation Classes and Thom Isomorphisms in K-Theory, pg. 384*Appendix D. Spin'-Manifolds, pg. 390*Bibliography, pg. 402*Index, pg. 417*Notation Index, pg. 425

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