Cohomology of Lie algebroids in the holomorphic and algebraic settings: theory and...
| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Zurich, Inst Math, CH-8001 Zurich - Switzerland
[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 - USA
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | PORTUGALIAE MATHEMATICA; v. 70, n. 2, p. 113-144, 2013. |
| Web of Science Citations: | 5 |
| Abstract | |
We show that the path construction integration of Lie algebroids by Lie groupoids is an actual equivalence from the of integrable Lie algebroids and complete Lie algebroid comorphisms to the of source 1-connected Lie groupoids and Lie groupoid comorphisms. This allows us to construct an actual symplectization functor in Poisson geometry. We include examples to show that the integrability of comorphisms and Poisson maps may not hold in the absence of a completeness assumption. (AU) | |
| FAPESP's process: | 10/15069-8 - Monoidal geometries |
| Grantee: | Benoit Richard Umbert Dherin |
| Support Opportunities: | Research Grants - Young Investigators Grants |
| FAPESP's process: | 10/19365-0 - Monoidal geometries |
| Grantee: | Benoit Richard Umbert Dherin |
| Support Opportunities: | Scholarships in Brazil - Young Researchers |