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

1. Introduction
J. J. Duistermaat

2. The Dolbeault-Dirac Operator
J. J. Duistermaat

3. Clifford Modules
J. J. Duistermaat

4. The Spin Group and the Spin-c Group
J. J. Duistermaat

5. The Spin-c Dirac Operator
J. J. Duistermaat

6. Its Square
J. J. Duistermaat

7. The Heat Kernel Method
J. J. Duistermaat

8. The Heat Kernel Expansion
J. J. Duistermaat

9. The Heat Kernel on a Principal Bundle
J. J. Duistermaat

10. The Automorphism
J. J. Duistermaat

11. The Hirzebruch-Riemann-Roch Integrand
J. J. Duistermaat

12. The Local Lefschetz Fixed Point Formula
J. J. Duistermaat

13. Characteristic Classes
J. J. Duistermaat

14. The Orbifold Version
J. J. Duistermaat

15. Application to Symplectic Geometry
J. J. Duistermaat

16. Appendix: Equivariant Forms
J. J. Duistermaat

Keywords: Mathematics, Global Analysis and Analysis on Manifolds, Partial Differential Equations, Differential Geometry, Analysis, Operator Theory, Mathematical Physics