Holomorphic Morse Inequalities and Bergman Kernels
This book gives for the first time a self-contained and unified approach to holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel, and presents also various applications. The main analytic tool is the analytic localization technique i...
Tallennettuna:
| Päätekijät: | , |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2007. |
| Sarja: | Progress in Mathematics
254 |
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
L'impression du document génère 431 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Variante du titre: | Winner of the Ferran Sunyer i Balaguer Prize 2006 |
| Edition sous un autre format: | • Holomorphic Morse inequalities and Bergman kernels, Xiaonan Ma, George Marinescu, 2007, Basel, Birkhäuser, 1 volume (XIII-422 pages), Progress in mathematics, 978-3-7643-8096-0 • Holomorphic Morse Inequalities and Bergman Kernels, Texte imprimé, 9783764391805 • Holomorphic Morse inequalities and Bergman kernels, Xiaonan Ma, George Marinescu, 2007, Basel, Birkhäuser, 1 volume (XIII-422 pages), Progress in mathematics, 978-3-7643-8096-0 |
| Yhteenveto: | This book gives for the first time a self-contained and unified approach to holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel, and presents also various applications. The main analytic tool is the analytic localization technique in local index theory developed by Bismut-Lebeau. The book includes the most recent results in the field and therefore opens perspectives on several active areas of research in complex, Kähler and symplectic geometry. A large number of applications are included, e.g., an analytic proof of the Kodaira embedding theorem, a solution of the Grauert-Riemenschneider and Shiffman conjectures, a compactification of complete Kähler manifolds of pinched negative curvature, the Berezin-Toeplitz quantization, weak Lefschetz theorems, and the asymptotics of the Ray-Singer analytic torsion. |
|---|---|
| Huomautukset: | L'impression du document génère 431 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliogr. Index |
| ISBN: | 9783764381158 |
| ISSN: | 2296-505X |
| Pääsy: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |