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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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2011. |
| Schriftenreihe: | Modern Birkhäuser Classics
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| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Description d'après consultation du 23 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The heat kernel Lefschetz fixed point formula for the spin-c dirac operator, J. J. Duistermaat, Boston, Birkhäuser, 2011, 1 vol. (IX-247 p.), Modern Birkhäuser Classics, 978-0-8176-8246-0 • The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator, Texte imprimé, 9780817682484 • The heat kernel Lefschetz fixed point formula for the spin-c dirac operator, J. J. Duistermaat, Boston, Birkhäuser, 2011, 1 vol. (IX-247 p.), Modern Birkhäuser Classics, 978-0-8176-8246-0 |
Inhaltsangabe:
- 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