Geometric and topological invariants of elliptic operators : proceedings of the AMS-IMS-SIAM joint summer research conference held July 23-29, 1988 with support from the National Science Foundation and the U.S. Army Research Office / Jerome Kaminker, editor.

Format:

Book

Conference/Event

Author/Creator:

AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Geometric and Topological Invariants of Elliptic Operators, Corporate Author.

Contributor:

Kaminker, Jerome, editor.

American Mathematical Society, issuing body.

Institute of Mathematical Statistics, issuing body.

Society for Industrial and Applied Mathematics, issuing body.

Conference Name:

AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Geometric and Topological Invariants of Elliptic Operators (1988 : Bowdoin College), issuing body.

AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Geometric and Topological Invariants of Elliptic Operators

Series:

Contemporary mathematics (American Mathematical Society) ; 105.

Contemporary mathematics, 0271-4132 ; 105

Language:

English

Subjects (All):

Elliptic operators--Congresses.

Elliptic operators.

Invariants--Congresses.

Invariants.

Physical Description:

1 online resource (312 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1990]

Language Note:

English

Summary:

This volume contains the proceedings of the AMS-IMS-SIAM Summer Research Conference on ``Geometric and Topological Invariants of Elliptic Operators,'' held in August 1988 at Bowdoin College. Some of the themes covered at the conference and appearing in the articles are: the use of more sophisticated asymptotic methods to obtain index theorems, the study of the $\eta$ invariant and analytic torsion, and index theory on open manifolds and foliated manifolds. The current state of noncommutative differential geometry, as well as operator algebraic and $K$-theoretic methods, are also presented in several the articles. This book will be useful to researchers in index theory, operator algebras, foliations, and mathematical physics. Topologists and geometers are also likely to find useful the view the book provides of recent work in this area. In addition, because of the expository nature of several of the articles, it will be useful to graduate students interested in working in these areas.

Contents:

""Contents""; ""Preface""; ""Asymptotic pseudodifferential operators and index theory""; ""A Lefschetz theorem on open manifolds""; ""Eta invariants and the odd index theorem for coverings""; ""The Lefschetz fixed point theorem for foliated manifolds""; ""L2-acyclicity and L2-torsion invariants""; ""Secondary characteristic numbers and locally free S1-actions""; ""L2-index theory, eta invariants and values of L-functions""; ""Non-commutative tori�A case study of non-commutative differentiable manifolds""; ""Analytic and combinatorial torsion""

""Pseudodifferential operators and K -homology, II""""The heat flow along the leaves of a Riemannian foliation""; ""Aspects of the Novikov conjecture""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7693-7

0-8218-5438-0