**Contemporary Mathematics**

Volume: 407;
2006;
191 pp;
Softcover

MSC: Primary 55;

Print ISBN: 978-0-8218-3676-7

Product Code: CONM/407

List Price: $65.00

Individual Member Price: $52.00

**Electronic ISBN: 978-0-8218-7997-9
Product Code: CONM/407.E**

List Price: $65.00

Individual Member Price: $52.00

# Recent Developments in Algebraic Topology

Share this page *Edited by *
*Alejandro Ádem; Jesús González; Guillermo Pastor*

This book is an excellent illustration of the versatility of Algebraic Topology interacting with other areas in Mathematics and Physics. Topics discussed in this volume range from classical Differential Topology and Homotopy Theory (Kervaire invariant one problem) to more recent lines of research such as Topological Quantum Field Theory (string theory). Likewise, alternative viewpoints on classical problems in Global Analysis and Dynamical Systems are developed (a spectral sequence approach to normal form theory).

This collection of papers is based on talks at the conference on the occasion of Sam Gitler's 70th birthday (December, 2003). The variety of topics covered in this book reflects the many areas where Sam Gitler's contributions have had an impact.

#### Table of Contents

# Table of Contents

## Recent Developments in Algebraic Topology

- Contents v6 free
- Preface vii8 free
- A personal appreciation of Sam Gitler ix10 free
- List of Participants xv16 free
- The mathematical work of Sam Gitler, 1960–2003 118 free
- The topology of the category of open and closed strings 1128
- A spectral sequence approach to normal forms 2744
- On the degree 2 map for a sphere 83100
- On the fibrewise Poincaré-Hopf theorem 101118
- A localization principle for orbifold theories 113130
- On classifying spaces for the family of virtually cyclic subgroups 135152
- Symmetric products of two dimensional complexes 147164
- Block bundle obstruction to Kervaire invariant one 163180
- Upper bounds for the span of projective Stiefel manifolds 173190
- On Z2-equivariant loop spaces 183200

#### Readership

Graduate students and research mathematicians interested in algebraic topology.