Tel Aviv Topology Conference

by Farber, Michael; Luck, Wolfgang; Weinberger, Shmuel

• ISBN13: 9780821813621
• ISBN10: 0821813625
• Format: Paperback
• Copyright: 1999-05-01
• Publisher: Amer Mathematical Society

Summary

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

Preface	ix
Vanishing theorems on covering manifolds	1	(24)
Maxim Braverman
The Sunada method	25	(12)
Robert Brooks
Relative torsion for homotopy triangulations	37	(22)
D. Burghelea
L. Friedlander
T. Kappeler
Non-linear similarity and linear similarity are equivariant below dimension 6	59	(8)
Sylvain Cappell
Julius Shaneson
Massey products and critical points	67	(6)
Michael Farber
Absolute torsion	73	(14)
Michael Farber
Vladimir Turaev
Signatures of links and finite type invariants of cyclic branched covers	87	(12)
Stavros Garoufalidis
The relation between compact and non-compact equivariant cobordisms	99	(14)
Viktor L. Ginzburg
Victor L. Guillemin
Yael Karshon
Volume of Riemannian manifolds, geometric inequalities, and homotopy theory	113	(24)
Mikhail G. Katz
Alexander I. Suciu
Pure braids, a new subgroup of the mapping class group and finite-type invariants of 3-manifolds	137	(22)
Jerome Levine
Novikov-Shubin invariants for arbitrary group actions and their positivity	159	(18)
Wolfgang Luck
Holger Reich
Thomas Schick
Differential operator endomorphisms of an Euler-Lagrange complex	177	(26)
Martin Markl
Steve Shnider
K-theory of twisted group C*-algebras and positive scalar curvature	203	(24)
Varghese Mathai
Equivariant orientations and Thom isomorphisms	227	(18)
J. P. May
Algorithmic aspects of homeomorphism problems	245	(6)
Alexander Nabutovsky
Shmuel Weinberger
The G-signature theorem revisited	251	(14)
Jonathan Rosenberg
A sequence of connections and a characterization of Kahler manifolds	265	(6)
Mikhail Shubin
New Invariants for surfaces	271	(12)
Mina Teicher
The arithmeticity of groups of automorphisms of spaces	283	(24)
Georgia Triantafillou
Nonlinear averaging, embeddings, and group actions	307	(8)
Shmuel Weinberger
Higher ρ-invariants	315
Shmuel Weinberger