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Tel Aviv Topology Conference: Rothenberg Festschrift
Edited by: Michael Farber, Tel Aviv University, Israel, Wolfgang Lück, Westfalische Wilhelms University, Munster, Germany, and Shmuel Weinberger, University of Chicago, IL
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Contemporary Mathematics
1999; 320 pp; softcover
Volume: 231
ISBN-10: 0-8218-1362-5
ISBN-13: 978-0-8218-1362-1
List Price: US$83
Member Price: US$66.40
Order Code: CONM/231
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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.

Readership

Graduate students and research mathematicians working in algebraic topology.

Table of Contents

  • M. Braverman -- Vanishing theorems on covering manifolds
  • R. Brooks -- The Sunada method
  • D. Burghelea, L. Friedlander, and T. Kappeler -- Relative torsion for homotopy triangulations
  • S. Cappell and J. Shaneson -- Nonlinear similarity and linear similarity are equivariant below dimension 6
  • M. Farber -- Massey products and critical points
  • M. Farber and V. Turaev -- Absolute torsion
  • S. Garoufalidis -- Signatures of links and finite type invariants of cyclic branched covers
  • V. L. Ginzburg, V. L. Guillemin, and Y. Karshon -- The relation between compact and non-compact equivariant cobordisms
  • M. G. Katz and A. I. Suciu -- Volume of Riemannian manifolds, geometric inequalities, and homotopy theory
  • J. Levine -- Pure braids, a new subgroup of the mapping class group and finite-type invariants of 3-manifolds
  • W. Lück, H. Reich, and T. Schick -- Novikov-Shubin invariants for arbitrary group actions and their positivity
  • M. Markl and S. Shnider -- Differential operator endomorphisms of an Euler-Lagrange complex
  • V. Mathai -- \(K\)-theory of twisted group \(C*\)-algebras and positive scalar curvature
  • J. P. May -- Equivariant orientations and Thom isomorphisms
  • A. Nabutovsky and S. Weinberger -- Algorithmic aspects of homeomorphism problems
  • J. Rosenberg -- The \(G\)-signature theorem revisited
  • M. Shubin -- A sequence of connections and a characterization of Kähler manifolds
  • M. Teicher -- New invariants for surfaces
  • G. Triantafillou -- The arithmeticity of groups of automorphisms of spaces
  • S. Weinberger -- Nonlinear averaging, embeddings, and group actions
  • S. Weinberger -- Higher \(\rho\)-invariants
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