Connes-Chern character for manifolds with boundary and eta cochains / Matthias Lesch, Henri Moscovici, Markus J. Pflaum.

Format:

Book

Author/Creator:

Lesch, Matthias, 1961- author.

Moscovici, Henri, 1944- author.

Pflaum, M. (Markus), author.

Series:

Memoirs of the American Mathematical Society ; number 1036.

Memoirs of the American Mathematical Society, 0065-9266 ; number 1036

Language:

English

Subjects (All):

Chern classes.

Boundary value problems.

Manifolds (Mathematics).

Physical Description:

vii, 92 pages : illustrations ; 25 cm.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2012.

Summary:

Lesch (U. of Bonn), Moscovici (Ohio State U.), and Pflaum (U. of Colorado) construct a retracted relative cocycle representing the Connes-Chern character in relative cyclic cohomology and derive the ensuing pairing formulae with the K-theory, establishing a connection with the Atiyah-Patodi-Singer index theorem. The monograph proves estimates for the heat kernel of a b-Dirac operator to analyze the short and long time behavior of the Chern character and explores asymptotic expansions for the b-analogues of the Jaffe-Lesniewski-Osterwalder components. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)

Contents:

Preliminaries

The b-Analogue of the entire Chern character

Heat kernel and resolvent estimates

The main results.

Notes:

"November 2012, volume 220, number 1036 (end of volume)"

Includes bibliographical references and indexes.

ISBN:

9780821872963

0821872966

OCLC:

806980938