The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator
Interest in the spin-c Dirac operator originally came about from the study of complex analytic manifolds, where in the non-Kähler case the Dolbeault operator is no longer suitable for getting local formulas for the Riemann–Roch number or the holomorphic Lefschetz number. However, every symplectic ma...
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Boston, MA :
Birkhäuser Boston,
2011.
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Σειρά: | Modern Birkhäuser Classics
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.