The localization problem in index theory of elliptic operators [electronic resource] / Vladimir Nazaikinskii, Bert-Wolfgang Schulze, Boris Sternin.
2014
QA329.42
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Title
The localization problem in index theory of elliptic operators [electronic resource] / Vladimir Nazaikinskii, Bert-Wolfgang Schulze, Boris Sternin.
Author
Nazaĭkinskiĭ, V. E., author.
ISBN
9783034805100 electronic book
3034805101 electronic book
9783034805094
3034805101 electronic book
9783034805094
Published
Basel : Birkhäuser, 2014.
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-0348-0510-0 doi
Call Number
QA329.42
Dewey Decimal Classification
515.7242
Summary
This book deals with the localization approach to the index problem for elliptic operators. Localization ideas have been widely used for solving various specific index problems for a long time, but the fact that there is actually a fundamental localization principle underlying all these solutions has mostly passed unnoticed. The ignorance of this general principle has often necessitated using various artificial tricks and hindered the solution of important new problems in index theory. So far, the localization principle has scarcely been covered in journal papers. The present book is intended to fill this gap. Both the general localization principle and its applications to specific problems, old and new, are covered. Concisely and clearly written, this monograph includes numerous figures helping the reader to visualize the material. The Localization Problem in Index Theory of Elliptic Operators will be of interest to researchers as well as graduate and postgraduate students specializing in differential equations and related topics.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on print version record.
Series
Pseudo-differential operators ; 10.
Available in Other Form
Localization problem in index theory of elliptic operators
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Table of Contents
Superposition Principle for the Relative Index
Superposition Principle for K-Homology
Superposition Principle for KK-Theory
Elliptic Operators on Noncompact Manifolds
Applications to Boundary Value Problems
Spectral Flow for Families of Dirac Type Operators.
Superposition Principle for K-Homology
Superposition Principle for KK-Theory
Elliptic Operators on Noncompact Manifolds
Applications to Boundary Value Problems
Spectral Flow for Families of Dirac Type Operators.