Nonabelian holomorphic Lie algebroid extensions
| Contribuinte(s) |
Istituto Nazionale di Fisica Nucleare, Sezione di Trieste (INFN, Sezione di Trieste) ; National Institute for Nuclear Physics (INFN) Instituto de Ciencias Matemáticas e de Computação (ICMC) ; Universidade de São Paulo Laboratoire Angevin de REcherche en MAthématiques (LAREMA) ; Centre National de la Recherche Scientifique (CNRS) - Université d'Angers (UA) |
|---|---|
| Data(s) |
2015
|
| Resumo |
International audience <p>We classify nonabelian extensions of Lie algebroids in the holomorphic category. Moreover we study a spectral sequence associated to any such extension. This spectral sequence generalizes the Hochschild–Serre spectral sequence for Lie algebras to the holomorphic Lie algebroid setting. As an application, we show that the hypercohomology of the Atiyah algebroid of a line bundle has a natural Hodge structure.</p> |
| Identificador |
hal-01392119 https://hal.archives-ouvertes.fr/hal-01392119 DOI : 10.1142/S0129167X15500408 OKINA : ua13287 |
| Idioma(s) |
en |
| Publicador |
HAL CCSD |
| Relação |
info:eu-repo/semantics/altIdentifier/doi/10.1142/S0129167X15500408 |
| Fonte |
ISSN: 1793-6519 International Journal of Mathematics https://hal.archives-ouvertes.fr/hal-01392119 International Journal of Mathematics, 2015, 26 (5), <10.1142/S0129167X15500408> |
| Palavras-Chave | #Hodge structure #Lie algebroids #nonabelian extensions #spectral sequences #[MATH] Mathematics [math] |
| Tipo |
info:eu-repo/semantics/article Journal articles |
