Integration of twisted Poisson structures

Alberto S. Cattaneo; Ping Xu

doi:10.1016/S0393-0440(03)00086-X

Integration of twisted Poisson structures

Alberto S. Cattaneo
, Ping Xu

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	187-196
Number of pages	10
Journal	Journal of Geometry and Physics
Volume	49
Issue number	2
DOIs	https://doi.org/10.1016/S0393-0440(03)00086-X
State	Published - Feb 2004

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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10.1016/S0393-0440(03)00086-X

Cite this

@article{d43f81ee67f24a6ea6105857b2226f0b,

title = "Integration of twisted Poisson structures",

abstract = "Poisson manifolds may be regarded as the infinitesimal form of symplectic groupoids. Twisted Poisson manifolds considered by {\v S}evera 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.",

author = "Cattaneo, \{Alberto S.\} and Ping Xu",

note = "Funding Information: We thank Jim Stasheff and Alan Weinstein for useful discussions and comments. We acknowledge Z{\"u}rich 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.",

year = "2004",

month = feb,

doi = "10.1016/S0393-0440(03)00086-X",

language = "English (US)",

volume = "49",

pages = "187--196",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier B.V.",

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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.

UR - https://www.scopus.com/pages/publications/0242552103

UR - https://www.scopus.com/pages/publications/0242552103#tab=citedBy

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 -

Integration of twisted Poisson structures

Abstract

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