Prospects in Topology (eBook, PDF)

Proceedings of a Conference in Honor of William Browder
Redaktion: Quinn, Frank

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: University of Pennsylvania Press, Inc.
• Erscheinungstermin: 2. März 2016
• Englisch
• ISBN-13: 9781400882588
• Artikelnr.: 45987829

Autorenporträt

Edited by Frank Quinn

Inhaltsangabe

Foreword
Program of the conference
Mathematical descendants of William Browder
The mod 2 cohomology rings of rank 3 simple group are Cohen Macaulay
3
Algebraic geometric invariants for homotopy actions
13
Algebraic K-theory of local number fields: the unramified case
28
The mapping cone and cylinder of a stratified map
58
Replacement of fixed sets and of their normal representations in
transformation groups of manifolds
67
Finite K ([pi],,1)s for Artin groups
110
Double point manifolds of immersions of spheres in Euclidean space
125
Controlled linear algebra
138
Non-linear similarity revisited
157
On the Vietoris-Rips complexes and a cohomology theory for metric spaces
175
Every proper smooth action of a Lie group is equivalent to a real analytic
action: a contribution to Hilbert's fifth problem
189
Formal deformations of equivariant genera, fixed point formula and
universal symmetry blocks
221
Stable prime decompositions of four-manifolds
251
Smooth correspondences
270
Simply connected 6-dimensional manifolds with little symmetry and algebras
with small tangent space
283
Speculations on Grommov convergence of stratified sets, and Riemannian
volume collapse
303
Bordism of automorphisms of manifolds from the algebraic L-theory point of
view
314
Exterior d, the local degree, and smoothability
328
Contributors
339