Integration of twisted Poisson structures

JOURNAL OF GEOMETRY AND PHYSICS

卷:49

Article

Cattaneo, AS ; Xu, P

关键词: Poisson manifolds;    symplectic groupoids;   

DOI  :  10.1016/S0393-0440(03)00086-X

来源: Elsevier

【 摘 要 】

Poisson manifolds may be regarded as the infinitesimal form of symplectic groupoids. Twisted Poisson manifolds considered by 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. (C) 2003 Elsevier Science B.V. All rights reserved.

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