The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator

Authors:

ISBN: 978-0-8176-8246-0 (Print) 978-0-8176-8247-7 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xi

  2. No Access

    Book Chapter

    Pages 1-5

    Introduction

  3. No Access

    Book Chapter

    Pages 7-17

    The Dolbeault-Dirac Operator

  4. No Access

    Book Chapter

    Pages 19-33

    Clifford Modules

  5. No Access

    Book Chapter

    Pages 35-40

    The Spin Group and the Spin-c Group

  6. No Access

    Book Chapter

    Pages 41-51

    The Spin-c Dirac Operator

  7. No Access

    Book Chapter

    Pages 53-68

    Its Square

  8. No Access

    Book Chapter

    Pages 69-75

    The Heat Kernel Method

  9. No Access

    Book Chapter

    Pages 77-97

    The Heat Kernel Expansion

  10. No Access

    Book Chapter

    Pages 99-115

    The Heat Kernel on a Principal Bundle

  11. No Access

    Book Chapter

    Pages 117-129

    The Automorphism

  12. No Access

    Book Chapter

    Pages 131-145

    The Hirzebruch-Riemann-Roch Integrand

  13. No Access

    Book Chapter

    Pages 147-156

    The Local Lefschetz Fixed Point Formula

  14. No Access

    Book Chapter

    Pages 157-170

    Characteristic Classes

  15. No Access

    Book Chapter

    Pages 171-186

    The Orbifold Version

  16. No Access

    Book Chapter

    Pages 187-219

    Application to Symplectic Geometry

  17. No Access

    Book Chapter

    Pages 221-235

    Appendix: Equivariant Forms

  18. Back Matter

    Pages 237-247