Poisson geometry with a 3-form background

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dc.creatorSevera, Pavol
dc.creatorWeinstein, Alan
dc.date2001-07-19
dc.date2001-09-14
dc.date.accessioned2026-07-07T04:42:39Z
dc.date.available2026-07-07T04:42:39Z
dc.descriptionWe 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.
dc.description10 pages, PTPTeX style; v2: minor changes, version to be published
dc.identifierhttps://arxiv.org/abs/math/0107133
dc.identifierhttp://arxiv.org/abs/math/0107133
dc.identifierProg.Theor.Phys.Suppl. 144 (2001) 145-154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61870
dc.subjectSymplectic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject53D17; 58H05; 58H15
dc.titlePoisson geometry with a 3-form background
dc.typetext

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