1.

Record Nr.

UNINA9910812583403321

Titolo

Tel Aviv Topology Conference, Rothenberg festschrift : International Conference on Topology, June 1-5, 1998, Tel Aviv / / Michael Farber, Wolfgang Lück, Shmuel Weinberger, editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1999]

©1999

ISBN

0-8218-7822-0

Descrizione fisica

1 online resource (334 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 231

Disciplina

514

Soggetti

Topology

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Dedicated to Mel Rothenberg on the occasion of his 65th birthday.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Preface""; ""Vanishing theorems on covering manifolds""; ""1. Introduction""; ""2. L 2 vanishing theorem for the half-kernel of a Dirac operator""; ""3. Complex manifolds. The L 2 analogue of the Andreotti-Grauert theorem""; ""4. Almost complex manifolds. An analogue of the Andreotti-Grauert theorem.""; ""5. Application to the representation theory""; ""6. Proof of the vanishing theorem for the half-kernel of a Dirac operator""; ""7. Proof of the Andreotti-Grauert-type theorem for almost complex manifolds""; ""8. Proof of the L 2 Andreotti-Grauert theorem""

""9. The Lichnerowicz formula. Proof of Propositions 6.3 and 7.1""""10. Estimate of the metric Laplacian""; ""References""; ""The Sunada method""; ""Relative torsion for homotopy triangulations""; ""0. Introduction and statements of the results.""; ""1. Operators and complexes and the proof of the first four results.""; ""2. Anomalies for the relative torsion.""; ""3. References.""; ""Non-linear similarity and linear similarity are equivariant below dimension 6""; ""Massey products and critical points""; ""Absolute torsion""

""Signatures of links and finite type invariants of cyclic branched covers""""The relation between compact and non-compact equivariant cobordisms""; ""Volume of Riemannian manifolds, geometric inequalities, and homotopy theory""; ""Pure braids, a new subgroup of the mapping class group and finite-type invariants of 3-manifolds"";



""1. Introduction""; ""2. Statement of Results""; ""3. Proof of Theorem 1""; ""4. Proof of Proposition 2.1""; ""5. Proof of Theorem 2""; ""6. Proof of Theorems 3 and 4.""; ""7. Proof of Proposition 2.2""; ""8. Proof of Theorem 5""; ""References""

""Novikov-Shubin invariants for arbitrary group actions and their positivity""""Differential operator endomorphisms of an Euler-Lagrange complex""; ""1. Introduction""; ""2. First toys""; ""3. More serious models""; ""4. Main results""; ""5. Proofs""; ""6. Applications""; ""K-theory of twisted group C*-algebras and positive scalar curvature""; ""Equivariant orientations and Thorn isomorphisms""; ""1. The fundamental groupoid and categorical definitions""; ""2. Functors to the category of G-spaces over orbits""; ""3. Coherent families of connected covers""