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Atiyah-Singer Index Theorem - An Introduction

An Introduction

  • Book
  • © 2013

Overview

Authors:
  1. Amiya Mukherjee

    1. Indian Statistical Institute, Kolkata, India

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Part of the book series: Texts and Readings in Mathematics (TRM)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xii
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  2. K-Theory

    • Amiya Mukherjee
    Pages 1-34

  3. Fredholm Operators and Atiyah-Jänich Theorem

    • Amiya Mukherjee
    Pages 35-52

  4. Bott Periodicity and Thorn Isomorphism

    • Amiya Mukherjee
    Pages 53-75

  5. Pseudo-Differential Operators

    • Amiya Mukherjee
    Pages 76-119

  6. Characteristic Classes and Chern-Weil Construction

    • Amiya Mukherjee
    Pages 120-147

  7. Spin Structure and Dirac Operator

    • Amiya Mukherjee
    Pages 148-177

  8. Equivariant K-Theory

    • Amiya Mukherjee
    Pages 178-199

  9. The Index Theorem

    • Amiya Mukherjee
    Pages 200-225

  10. Cohomological Formulation of the Index Theorem

    • Amiya Mukherjee
    Pages 226-260

  11. Back Matter

    Pages 261-270
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Authors and Affiliations

  • Indian Statistical Institute, Kolkata, India

    Amiya Mukherjee

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