Index theory, eta forms, and Deligne cohomology / Ulrich Bunke.

Format:

Book

Author/Creator:

Bunke, Ulrich, 1963- author.

Series:

Memoirs of the American Mathematical Society ; Volume 198, Number 928.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 198, Number 928

Language:

English

Subjects (All):

Differential operators.

Invariants.

Index theory (Mathematics).

Physical Description:

1 online resource (134 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2009.

Language Note:

English

Summary:

This paper sets up a language to deal with Dirac operators on manifolds with corners of arbitrary co-dimension. In particular the author develops a precise theory of boundary reductions.

Contents:

""Contents""; ""Chapter 1""; ""1.1. Introduction""; ""1.2. Further remarks""; ""Chapter 2. Index theory for families with corners""; ""2.1. Dirac operators on manifolds with corners""; ""2.2. Geometric families""; ""Chapter 3. Analytic obstruction theory""; ""3.1. The filtration of K-theory and related obstructions""; ""3.2. Localization over the base""; ""3.3. Resolutions""; ""Chapter 4. Deligne cohomology valued index theory""; ""4.1. Deligne cohomology valued index theory""; ""4.2. Examples""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""

""M""""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""V""; ""W""; ""Z""

Notes:

"Volume 198, Number 928 (fifth of 6 numbers)."

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-0534-2