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...
Wedi'i Gadw mewn:
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| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Rhifyn: | 1st ed. 2011. |
| Cyfres: | Modern Birkhäuser Classics
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| Pynciau: | |
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nodyn: |
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 |
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| 020 | |a 9780817682477 | ||
| 041 | 0 | |a eng | |
| 082 | |a 514.74 | ||
| 084 | |a 58J20. 2010 | ||
| 084 | |a 53D50. 2010 | ||
| 084 | |a 58J35. 2010 | ||
| 084 | |a 58J60. 2010 | ||
| 100 | 1 | |a Duistermaat, Johannes Jisse, |d 1942-2010. | |
| 245 | 1 | 0 | |a The Heat Kernel Lefschetz fixed point formula for the spin-c dirac operator |c J. J. Duistermaat. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Modern Birkhäuser Classics |x 2197-1811 | |
| 500 | |a Description d'après consultation du 23 avril 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 237-244 Index p. 245-247 | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 manifold (phase space in classical mechanics) also carries an almost complex structure and hence a corresponding spin-c Dirac operator. Using the heat kernels theory of Berline, Getzler, and Vergne, this work revisits some fundamental concepts of the theory, and presents the application to symplectic geometry. J.J. Duistermaat was well known for his beautiful and concise expositions of seemingly familiar concepts, and this classic study is certainly no exception. Reprinted as it was originally published, this work is as an affordable text that will be of interest to a range of researchers in geometric analysis and mathematical physics. Overall this is a carefully written, highly readable book on a very beautiful subject. Mathematical Reviews The book of J.J. Duistermaat is a nice introduction to analysis related [to the] spin-c Dirac operator. ... The book is almost self contained, [is] readable, and will be useful for anybody who is interested in the topic. EMS Newsletter The author's book is a marvelous introduction to [these] objects and theories. Zentralblatt MATH | ||
| 650 | |a Formes différentielles | ||
| 650 | |a Variétés complexes | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Variétés quasi-complexes | ||
| 650 | |a Équation de Dirac | ||
| 650 | |a Équations différentielles non linéaires | ||
| 776 | 0 | |0 158435125 |t The heat kernel Lefschetz fixed point formula for the spin-c dirac operator |f J. J. Duistermaat |c Boston |n Birkhäuser |d 2011 |p 1 vol. (IX-247 p.) |s Modern Birkhäuser Classics |z 978-0-8176-8246-0 | |
| 776 | 0 | |t The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator |b Texte imprimé |z 9780817682484 | |
| 776 | 0 | |0 158435125 |t The heat kernel Lefschetz fixed point formula for the spin-c dirac operator |f J. J. Duistermaat |c Boston |n Birkhäuser |d 2011 |p 1 vol. (IX-247 p.) |s Modern Birkhäuser Classics |z 978-0-8176-8246-0 | |
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| 997 | |0 973361 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||