Cattaneo, Alberto S; Dherin, Benoît; Weinstein, Alan (2013). Integration of Lie algebroid comorphisms. Portugaliae mathematica, 70(2):113-144.
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.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 2013 |
| Deposited On: | 22 Nov 2013 11:50 |
| Last Modified: | 10 Nov 2023 02:42 |
| Publisher: | European Mathematical Society Publishing House |
| ISSN: | 0032-5155 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.4171/PM/1928 |
Cattaneo, Alberto S