The Atiyah-Patodi-Singer index theorem / by Richard Melrose.

Author
Melrose, Richard B. [Browse]
Format
Book
Language
English
Εdition
First edition.
Published/​Created
Boca Raton, FL : A K Peters/CRC Press, an imprint of Taylor and Francis, 1993.
Description
1 online resource (x, 377 pages) : illustrations.

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Details

Subject(s)
Series
  • Research notes in mathematics (Boston, Mass.) ; Volume 4. [More in this series]
  • Research notes in mathematics ; Volume 4
Summary note
Based on the lecture notes of a graduate course given at MIT, this sophisticated treatment leads to a variety of current research topics and will undoubtedly serve as a guide to further studies.
Bibliographic references
Includes bibliographical references and indexes.
Source of description
Description based on print version record.
Contents
  • part Introduction and the proof
  • chapter 1 The Atiyah-Singer index theorem
  • chapter 3 Boundary conditions versus b-geometry
  • chapter 4 Preliminaries to the proof
  • chapter 5 The proof
  • chapter 6 Weighting
  • chapter 7 Outline
  • chapter 1 Ordinary differential operators
  • chapter 2 Exact b-geometry
  • chapter 3 Spin structures
  • chapter 4 Small b-calculus
  • chapter 5 Full calculus
  • chapter 6 Relative index, cohomology and resolvent
  • chapter 7 Heat calculus
  • chapter 8 Local index theorem
  • chapter 9 Proof revisited and applications.
ISBN
  • 0-429-06507-8
  • 1-4398-6460-8
OCLC
1042329624
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