Prospects in Topology (AM-138) ：Proceedings of a Conference in Honor of William Browder. (AM-138) ( Annals of Mathematics Studies )

Publication subTitle ：Proceedings of a Conference in Honor of William Browder. (AM-138)

Publication series ：Annals of Mathematics Studies

Author： Quinn Frank

Publisher： Princeton University Press‎

Publication year： 2016

E-ISBN: 9781400882588

P-ISBN(Paperback): 9780691027289

Subject： O189 topology (geometry of situation)

Keyword：拓扑（形势几何学）,数学

Language： ENG

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Description

This collection brings together influential papers by mathematicians exploring the research frontiers of topology, one of the most important developments of modern mathematics. The papers cover a wide range of topological specialties, including tools for the analysis of group actions on manifolds, calculations of algebraic K-theory, a result on analytic structures on Lie group actions, a presentation of the significance of Dirac operators in smoothing theory, a discussion of the stable topology of 4-manifolds, an answer to the famous question about symmetries of simply connected manifolds, and a fresh perspective on the topological classification of linear transformations.

The contributors include A. Adem, A. H. Assadi, M. Bökstedt, S. E. Cappell, R. Charney, M. W. Davis, P. J. Eccles, M. H. Freedman, I. Hambleton, J. C. Hausmann, S. Illman, G. Katz, M. Kreck, W. Lück, I. Madsen, R. J. Milgram, J. Morava, E. K. Pedersen, V. Puppe, F. Quinn, A. Ranicki, J. L. Shaneson, D. Sullivan, P. Teichner, Z. Wang, and S. Weinberger.

Chapter

Program of the Conference

Mathematical descendants of William Browder

The mod 2 cohomology rings of rank 3 simple groups are Cohen-Macaulay

Algebraic geometric invariants for homotopy actions

Algebraic K-theory of local number fields: the unramified case

The mapping cone and cylinder of a stratified map

Replacement of fixed sets and of their normal representations in transformation groups of manifolds

Finite K(π, 1)s for Artin groups

Double point manifolds of immersions of spheres in Euclidean space

Controlled linear algebra

Non-linear similarity revisited

On the Vietoris-Rips complexes and a cohomology theory for metric spaces

Every proper smooth action of a Lie group is equivalent to a real analytic action: a contribution to Hilbert’s fifth problem

Formal deformations of equivariant genera, fixed point formula and universal symmetry blocks

Stable prime decompositions of four-manifolds

Smooth correspondences

Simply connected 6-dimensional manifolds with little symmetry and algebras with small tangent space

Speculations on Gromov convergence of stratified sets, and Riemannian volume collapse

Bordism of automorphisms of manifolds from the algebraic L-theory point of view

Exterior d, the local degree, and smoothability

Contributors

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