Integration of twisted Poisson structures

Details Integration of twisted Poisson structures Integration of twisted Poisson structures

2003-02-21

arxiv.org/abs/math/0302268v2

J. Geom. Phys. 49, 187-196 (2004)

Mathematics

Symplectic Geometry

12 pages; minor corrections (especially in terminology: "twisted symplectic" replaces "quasi-symplectic"), references updated;

Scientific paper

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.

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