Integration of twisted Poisson structures
Symplectic Geometry
2020-05-19 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
Poisson manifolds may be regarded as the infinitesimal form of symplectic groupoids. Twisted Poisson manifolds considered by Severa and Weinstein [math.SG/0107133] 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.
Cite
@article{arxiv.math/0302268,
title = {Integration of twisted Poisson structures},
author = {Alberto S. Cattaneo and Ping Xu},
journal= {arXiv preprint arXiv:math/0302268},
year = {2020}
}
Comments
12 pages; minor corrections (especially in terminology: "twisted symplectic" replaces "quasi-symplectic"), references updated; to appear in J. Geom. Phys