# Integration of twisted Poisson structures

Cattaneo, A S; Xu, P (2004). Integration of twisted Poisson structures. Journal of Geometry and Physics, 49(2):187-196.

## Abstract

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.

## Abstract

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.

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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics Poisson manifolds; Symplectic groupoids English 2004 27 Jan 2010 12:35 05 Apr 2016 13:24 Elsevier 0393-0440 https://doi.org/10.1016/S0393-0440(03)00086-X