Cattaneo, A S; Xu, P (2004). Integration of twisted Poisson structures. Journal of Geometry and Physics, 49(2):187-196.
Poisson manifolds may be regarded as the infinitesimal form of symplectic groupoids. Twisted Poisson manifolds considered by Image Severa and Weinstein [Prog. Theor. Phys. Suppl. 144 (2001) 145] are a natural generalization of the former which also arises in string theory. In this note it is proved that twisted Poisson manifolds are in bijection with a (possibly singular) twisted version of symplectic groupoids.
Poisson manifolds may be regarded as the infinitesimal form of symplectic groupoids. Twisted Poisson manifolds considered by Image Severa and Weinstein [Prog. Theor. Phys. Suppl. 144 (2001) 145] are a natural generalization of the former which also arises in string theory. In this note it is proved that twisted Poisson manifolds are in bijection with a (possibly singular) twisted version of symplectic groupoids.
| 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 > Mathematical Physics
Physical Sciences > General Physics and Astronomy Physical Sciences > Geometry and Topology |
| Uncontrolled Keywords: | Poisson manifolds, Symplectic groupoids |
| Language: | English |
| Date: | 2004 |
| Deposited On: | 27 Jan 2010 12:35 |
| Last Modified: | 23 Jan 2022 14:35 |
| Publisher: | Elsevier |
| ISSN: | 0393-0440 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1016/S0393-0440(03)00086-X |
Cattaneo, A S