Hypoelliptic laplacian and Bott Chern cohomology : a theorem of Riemann Roch Grothendieck in complex geometry
The book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann Roch Grothendieck for proper submersions. It gives an equality of cohomology classes in Bott Chern cohomology, which is a refinement for complex manifolds of de Rham cohomo...
Tallennettuna:
| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Heidelberg :
Springer International Publishing : Imprint: Birkhäuser
[20..].
Cham : Springer Nature |
| Sarja: | Progress in Mathematics
305 |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Hypoelliptic Laplacian and Bott-Chern cohomology, a theorem of Riemann-Roch-Grothendieck in complex geometry, Jean-Michel Bismut, [Basel], Birkhäuser, Springer, 2013, 1 vol. (XV-203 p.), Progress in mathematics, 978-3-319-00127-2, Texte imprimé |
Sisällysluettelo:
- Introduction 1 The Riemannian adiabatic limit 2 The holomorphic adiabatic limit 3 The elliptic superconnections 4 The elliptic superconnection forms 5 The elliptic superconnections forms 6 The hypoelliptic superconnections 7 The hypoelliptic superconnection forms 8 The hypoelliptic superconnection forms of vector bundles 9 The hypoelliptic superconnection forms 10 The exotic superconnection forms of a vector bundle 11 Exotic superconnections and Riemann Roch Grothendieck Bibliography Subject Index Index of Notation.