Group actions on manifolds / Reinhard Schultz, editor.

Format:

Book

Conference/Event

Contributor:

Schultz, Reinhard, 1943- editor.

American Mathematical Society, issuing body.

Institute of Mathematical Statistics, issuing body.

Society for Industrial and Applied Mathematics, issuing body.

Conference Name:

AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Group Actions on Manifolds (1983 : University of Colorado), issuing body.

AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Group Actions on Manifolds

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 36

Contemporary mathematics, 0271-4132 ; 36 0271-4132

Language:

English

Subjects (All):

Manifolds (Mathematics)--Congresses.

Manifolds (Mathematics).

Group actions (Mathematics)--Congresses.

Group actions (Mathematics).

Physical Description:

1 online resource (586 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1985]

Language Note:

English

Summary:

Presents an understanding of the sorts of problems one studies in group actions and the methods used to study such problems. This book features articles based upon lectures at the 1983 AMS-IMS-SIAM Joint Summer Research Conference, Group Actions on Manifolds, held at the University of Colorado.

Contents:

Contents

Introduction

Summary of Program

List of Participants

The work and influence of Deane Montgomery

Bibliography of Deane Montgomery

Homotopy-theoretic techniques and applications:

Homotopy invariants and G-manifolds: A look at the past fifteen years

Splitting semifree group actions on homotopy spheres into solid tori

Equivariant Whitehead torsion and actions of compact lie groups

Homological methods and machinery:

A family of unusual torus group actions

For G = s1 there is no G-Chern character

Equivariant frameability of homotopy linear s1 actions on spheres

Action maps on equivariant function spaces and applications to PL bordism

Borsuk-Ulam theorems for prime periodic transformation groups

On equivariant maps of Stiefel manifolds

Applications of surgery and geometric topology:

Representations at fixed points

Transformation groups and fixed point data

Lectures on transformation groups and Smith equivalence

Transformation groups and exotic spheres

Constructions of group actions: A survey of recent developments

Concordance of group actions on spheres

Induction in equivariant K-theory and s-Smith equivalence of representations

Smith equivalent representations of generalized quaternion groups

s-Smith equivalent representations for finite abelian groups

Isotropy representations of nonabelian finite group actions

Low-dimensional topology and transformation groups:

Transformation groups and low-dimensional manifolds

Homogeneous spaces and seifert fiberings:

The role of Seifert fiber spaces in transformation groups

Realizing group automorphisms

Cohomology of a Siegel modular variety of degree two

Transformation groups and differential geometry:

Newman's Theorem and the Hilbert-Smith Conjecture

Geometry, representation theory, and the Yang-Mills functional

Problems:

Problems submitted to the A.M.S. Summer Research Conference on Group Actions

1. Realization questions

2. Inductive existence and classification questions

3. Absolute existence questions

4. General structure questions

5. Questions involving equivariant algebraic topology

6. Questions on group actions and low-dimensional topology

7. Problems concerning smooth actions on spheres

8. Problems concerning actions on spherelike spaces

9. Group actions and topological singularities

10. Topological similarity of representations

11. Transformation groups and geometry.

Notes:

"Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Group Actions on Manifolds, University of Colorado, Boulder, June 26-July 1, 1983"--Title page verso.

Includes bibliographies.

Description based on print version record.

ISBN:

0-8218-7621-X

0-8218-5389-9