TY - JOUR
T1 - Integration of twisted Poisson structures
AU - Cattaneo, Alberto S.
AU - Xu, Ping
N1 - Funding Information:
We thank Jim Stasheff and Alan Weinstein for useful discussions and comments. We acknowledge Zürich University (PX) and Penn State University (ASC) for their kind hospitality during the preparation of the work. ASC acknowledges partial support of SNF Grant No. 20-63821.00. PX acknowledges partial support of NSF Grant DMS00-72171.
PY - 2004/2
Y1 - 2004/2
N2 - Poisson manifolds may be regarded as the infinitesimal form of symplectic groupoids. Twisted Poisson manifolds considered by Ševera 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.
AB - Poisson manifolds may be regarded as the infinitesimal form of symplectic groupoids. Twisted Poisson manifolds considered by Ševera 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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U2 - 10.1016/S0393-0440(03)00086-X
DO - 10.1016/S0393-0440(03)00086-X
M3 - Article
AN - SCOPUS:0242552103
SN - 0393-0440
VL - 49
SP - 187
EP - 196
JO - Journal of Geometry and Physics
JF - Journal of Geometry and Physics
IS - 2
ER -