**Contemporary Mathematics**

Volume: 231;
1999;
320 pp;
Softcover

MSC: Primary 55; 57;

Print ISBN: 978-0-8218-1362-1

Product Code: CONM/231

List Price: $88.00

Individual Member Price: $70.40

**Electronic ISBN: 978-0-8218-7822-4
Product Code: CONM/231.E**

List Price: $88.00

Individual Member Price: $70.40

# Tel Aviv Topology Conference: Rothenberg Festschrift

Share this page *Edited by *
*Michael Farber; Wolfgang Lück; Shmuel Weinberger*

This volume presents the proceedings of the Tel Aviv International Topology Conference held during the Special Topology Program at Tel Aviv University. The book is dedicated to Professor Mel Rothenberg on the occasion of his 65th birthday. His contributions to topology are well known—from the early work on triangulations to numerous papers on transformation groups and on geometric and analytic aspects of torsion theory. Current research related to those contributions are reported in this book.

Coverage is included on the following topics: vanishing theorems for the Dirac operator, the theory of Reidemeister torsion (including infinite dimensional flat bundles), Nobikov-Shubin invariants of manifolds, topology of group actions, Lusternik-Schnirelman theory for closed 1-forms, finite type invariants of links and 3-manifolds, equivariant cobordisms, equivariant orientations and Thom isomorphisms, and more.

#### Table of Contents

# Table of Contents

## Tel Aviv Topology Conference: Rothenberg Festschrift

- Contents vii8 free
- Preface ix10 free
- Vanishing theorems on covering manifolds 112 free
- 1. Introduction 213
- 2. L 2 vanishing theorem for the half-kernel of a Dirac operator 415
- 3. Complex manifolds. The L 2 analogue of the Andreotti-Grauert theorem 617
- 4. Almost complex manifolds. An analogue of the Andreotti-Grauert theorem. 819
- 5. Application to the representation theory 1021
- 6. Proof of the vanishing theorem for the half-kernel of a Dirac operator 1122
- 7. Proof of the Andreotti-Grauert-type theorem for almost complex manifolds 1324
- 8. Proof of the L 2 Andreotti-Grauert theorem 1425
- 9. The Lichnerowicz formula. Proof of Propositions 6.3 and 7.1 1526
- 10. Estimate of the metric Laplacian 1930
- References 2233

- The Sunada method 2536
- Relative torsion for homotopy triangulations 3748
- Non-linear similarity and linear similarity are equivariant below dimension 6 5970
- Massey products and critical points 6778
- Absolute torsion 7384
- Signatures of links and finite type invariants of cyclic branched covers 8798
- The relation between compact and non-compact equivariant cobordisms 99110
- Volume of Riemannian manifolds, geometric inequalities, and homotopy theory 113124
- Pure braids, a new subgroup of the mapping class group and finite-type invariants of 3-manifolds 137148
- Novikov-Shubin invariants for arbitrary group actions and their positivity 159170
- Differential operator endomorphisms of an Euler-Lagrange complex 177188
- K-theory of twisted group C*-algebras and positive scalar curvature 203214
- Equivariant orientations and Thorn isomorphisms 227238
- 1. The fundamental groupoid and categorical definitions 229240
- 2. Functors to the category of G-spaces over orbits 232243
- 3. Coherent families of connected covers 233244
- 4. Orientability of spherical G-fibrations 235246
- 5. Coherent families of Thorn classes and Thorn isomorphisms 237248
- 6. Orientations in ordinary equivariant cohomology 239250
- 7. Concluding remarks 242253
- References 243254

- Algorithmic aspects of homeomorphism problems 245256
- The G-signature theorem revisited 251262
- A sequence of connections and a characterization of Kähler manifolds 265276
- New invariants for surfaces 271282
- The arithmeticity of groups of automorphisms of spaces 283294
- Nonlinear averaging, embeddings, and group actions 307318
- Higher p-invariants 315326

#### Readership

Graduate students and research mathematicians working in algebraic topology.