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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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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Poisson manifolds; Symplectic groupoids
Language:English
Date:2004
Deposited On:27 Jan 2010 12:35
Last Modified:21 Nov 2017 14:21
Publisher:Elsevier
ISSN:0393-0440
Publisher DOI:https://doi.org/10.1016/S0393-0440(03)00086-X

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