Dirac structures, moment maps and quasi-Poisson manifolds

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dc.creatorBursztyn, Henrique
dc.creatorCrainic, Marius
dc.date2003-10-28
dc.date2004-10-19
dc.date.accessioned2026-07-07T05:02:19Z
dc.date.available2026-07-07T05:02:19Z
dc.descriptionWe extend the correspondence between Poisson maps and actions of symplectic groupoids, which generalizes the one between momentum maps and hamiltonian actions, to the realm of Dirac geometry. As an example, we show how hamiltonian quasi-Poisson manifolds fit into this framework by constructing an ``inversion'' procedure relating quasi-Poisson bivectors to twisted Dirac structures.
dc.description36 pages. Typos and signs fixed. To appear in Progress in Mathematics, Festschrift in honor of Alan Weinstein, Birkauser
dc.identifierhttps://arxiv.org/abs/math/0310445
dc.identifierhttp://arxiv.org/abs/math/0310445
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69008
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.titleDirac structures, moment maps and quasi-Poisson manifolds
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