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

J. J. Duistermaat
Publisher: 
Birkhäuser
Publication Date: 
2011
Number of Pages: 
247
Format: 
Paperback
Series: 
Modern Birkhäuser Classics
Price: 
59.95
ISBN: 
9780817682460
Category: 
Monograph
We do not plan to review this book.

1 Introduction.- 2 The Dolbeault-Dirac Operator.- 3 Clifford Modules.- 4 The Spin Group and the Spin-c Group.- 5 The Spin-c Dirac Operator.- 6 Its Square.- 7 The Heat Kernel Method.- 8 The Heat Kernel Expansion.- 9 The Heat Kernel on a Principal Bundle.- 10 The Automorphism.- 11 The Hirzebruch-Riemann-Roch Integrand.- 12 The Local Lefschetz Fixed Point Formula.- 13 Characteristic Case.- 14 The Orbifold Version.- 15 Application to Symplectic Geometry.- 16 Appendix: Equivariant Forms.