Atiyah-Singer index theorem : an introduction /

This monograph is a thorough introduction to the Atiyah-Singer index theorem for elliptic operators on compact manifolds without boundary. The main theme is only the classical index theorem and some of its applications, but not the subsequent developments and simplifications of the theory. The book...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Mukherjee, Amiya (Author)
Format: Electronic eBook
Language:Inglés
Published: New Delhi : Hindustan Book Agency, [2013]
Series:Texts and readings in mathematics ; 69.
Subjects:
Atiyah-Singer index theorem.
Elliptic operators.
Manifolds (Mathematics)
Fixed point theory.
Théorème d'Atiyah-Singer.
Opérateurs elliptiques.
Variétés (Mathématiques)
Théorème du point fixe.
Atiyah-Singer index theorem
Elliptic operators
Fixed point theory
Online Access:Texto completo
Table of Contents:
  • 1. K-theory
  • 2. Fredholm operators and Atiyah-Jänich theorem
  • 3. Bott periodicity and Thom isomorphism
  • 4. Pseudo-differential operators
  • 5. Characteristic classes and Chern-Weil construction
  • 6. Spin structure and Dirac operator
  • 7. Equivariant k-theory
  • 8. The index theorem
  • 9. Cohomological formulation of the index theorem.

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