Integration of twisted Poisson structures

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.

12 pages; minor corrections (especially in terminology: "twisted symplectic" replaces "quasi-symplectic"), references updated; to appear in J. Geom. Phys

References in corpus (2)

• Nonassociative Star Product Deformations for D-brane Worldvolumes in Curved Backgrounds
• WZW-Poisson manifolds

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