Description
Book SynopsisSurgery theory is the basis for the classification theory of manifolds. There have been extraordinary accomplishments in that time, which have led to varied interactions with algebra, analysis, and geometry. This work is of interest to those interested in topology, not only graduate students and mathematicians, but also mathematical physicists.
Table of ContentsThe Editors Preface vii The Editors C. T. C. Wall's contributions to the topology of manifolds 3 C. T. C. Wall's publication list 17 J. Milnor Classification of (n - l)-connected 2n-dimensional manifolds and the discovery of exotic spheres 25 S. Novikov Surgery in the 1960's 31 W. Browder Differential topology of higher dimensional manifolds 41 T. Lance Differentiable structures on manifolds 73 E. Brown The Kervaire invariant and surgery theory 105 A Kreck A guide to the classification of manifolds 121 J. Klein Poincare duality spaces 135 A Davis Poincare duality groups 167 J. Davis Manifold aspects of the Novikov Conjecture 195 I. Hambleton and L. Taylor A guide to the calculation of the surgery obstruction groups for finite groups 225 C. Stark Surgery theory and infinite fundamental groups 275 E. Pedersen Continuously controlled surgery theory 307 W. Mio Homology manifolds 323 J. Levine and K. Orr A survey of applications of surgery to knot and link theory 345 J. Roe Surgery and C*-algebras 365 R. J. Milgram The classification of Aloff-Wallach manifolds and their generalizations 379 C. Thomas Elliptic cohomology 409
