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Prog. Theor. Phys. Supplement No.144 (2002) pp. 145-154

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Poisson Geometry with a 3-Form Background

Pavol Ševera1,* and Alan Weinstein2,**

1Department of Theoretical Physics, Comenius University, 84215 Bratislava, Slovakia
2Department of Mathematics, University of California, Berkeley, CA 94720, USA

Abstract:

We study a modification of Poisson geometry by a closed 3-form. Just as for ordinary Poisson structures, these “twisted" Poisson structures are conveniently described as Dirac structures in suitable Courant algebroids. The additive group of 2-forms acts on twisted Poisson structures and permits them to be seen as glued from ordinary Poisson structures defined on local patches. We conclude with remarks on deformation quantization and twisted symplectic groupoids.


URL : http://ptp.ipap.jp/link?PTPS/144/145/
DOI : 10.1143/PTPS.144.145


*Research supported by the European Postdoctoral Institute (EPDI).
E-mail: severa@sophia.dtp.fmph.uniba.sk
**Research partially supported by NSF Grant DMS-99-71505.
E-mail: alanw@math.berkeley.edu

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Citing Article(s) :

  1. Progress of Theoretical Physics Supplement No.144 (2002) pp. 26-37 :
    Poisson Vector Bundles, Contravariant Connections and Deformations
    Henrique Bursztyn

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