Poisson geometry with a 3-form background

Details Poisson geometry with a 3-form background Poisson geometry with a 3-form background

2001-07-19

arxiv.org/abs/math/0107133v2

Prog.Theor.Phys.Suppl. 144 (2001) 145-154

Mathematics

Symplectic Geometry

10 pages, PTPTeX style; v2: minor changes, version to be published

Scientific paper

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.

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