**Contemporary Mathematics**

Volume: 279;
2001;
255 pp;
Softcover

MSC: Primary 55; 57;

Print ISBN: 978-0-8218-2063-6

Product Code: CONM/279

List Price: $78.00

Individual Member Price: $62.40

**Electronic ISBN: 978-0-8218-7869-9
Product Code: CONM/279.E**

List Price: $78.00

Individual Member Price: $62.40

# Topology, Geometry, and Algebra: Interactions and new directions

Share this page *Edited by *
*Alejandro Adem; Gunnar Carlsson; Ralph Cohen*

This volume presents the proceedings from the conference on “Topology, Geometry, and Algebra: Interactions and New Directions” held in honor of R. James Milgram at Stanford University in August 1999. The meeting brought together distinguished researchers from a variety of areas related to algebraic topology and its applications.

Papers in the book present a wide range of subjects, reflecting the nature of the conference. Topics include moduli spaces, configuration spaces, surgery theory, homotopy theory, knot theory, group actions, and more. Particular emphasis was given to the breadth of interaction between the different areas.

#### Table of Contents

# Table of Contents

## Topology, Geometry, and Algebra: Interactions and new directions

- Contents v6 free
- Preface vii8 free
- On Jim Milgram's mathematical work 110 free
- A renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space 1120
- The 1-line of the K-theory Bousfield-Kan spectral sequence for Spin(2n + 1) 3746
- Homologically exotic free actions on products of Sm 5766
- Surgery formulae for analytical invariants of manifolds 7382
- On genus one mapping class groups, function spaces, and modular forms 103112
- Poincaré duality and deformations of algebras 129138
- An analog of the May-Milgram Model for configurations with multiplicities 135144
- Configuration spaces and the topology of curves in projective space 151160
- Quantum methods in algebraic topology 177186
- Adiabatic limits and foliations 195204
- Legendrian links of topological unknots 209218
- Algebraic Poincaré cobordism 213222

#### Readership

Graduate students and research mathematicians interested in algebraic topology and manifolds and cell complexes.