**Contemporary Mathematics**

Volume: 504;
2009;
254 pp;
Softcover

MSC: Primary 16; 18; 19; 53; 55; 58;

Print ISBN: 978-0-8218-4839-5

Product Code: CONM/504

List Price: $83.00

Individual Member Price: $66.40

**Electronic ISBN: 978-0-8218-8183-5
Product Code: CONM/504.E**

List Price: $83.00

Individual Member Price: $66.40

# Alpine Perspectives on Algebraic Topology

Share this page *Edited by *
*Christian Ausoni; Kathryn Hess; Jérôme Scherer*

This volume contains the proceedings of the Third Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, on August 18–24, 2008.

This volume includes research papers on stable homotopy theory, the theory of operads, localization and algebraic K-theory, as well as survey papers on the Witten genus, on localization techniques and on string topology—offering a broad perspective of modern algebraic topology.

#### Table of Contents

# Table of Contents

## Alpine Perspectives on Algebraic Topology

- Contents vii8 free
- Preface ix10 free
- List of Conference Talks xi12 free
- List of Participants xiii14 free
- L-complete Hopf algebroids and their comodules 118 free
- The lattice path operad and Hochschild cochains 2340
- Open-closed field theories, string topology, and Hochschild homology 5370
- Cellular covers of divisible abelian groups 7794
- Some geometric properties of the Witten genus 99116
- Localization and cellularization of principal fibrations 117134
- Operadic cobar constructions, cylinder objects and homotopy morphisms of algebras over operads 125142
- Involutions on the rational K-theory of group rings of finite groups 189206
- A quick trip through localization 203220
- 1. Geometric localization 204221
- 2. Geometric localization exists 205222
- 3. Localization of abelian groups 207224
- 4. Classical localization of abelian groups, inverting a set of primes 208225
- 5. Classical localization of spaces 210227
- 6. Limits and derived functors 211228
- 7. Hom and Ext 214231
- 8. p−completion of abelian groups 215232
- 9. p−completion of topological spaces 220237
- 10. Miller's theorem and the Zabrodsky Lemma 223240
- 11. An exotic localization theorem and Serre's theorem 225242
- 12. Applications of exotic localization 229246
- 13. Serre's conjecture 232249
- References 235252

- Divided power structures and chain complexes 237254

#### Readership

Graduate students and research mathematicians interested in various aspects of modern algebraic topology.