Courant morphisms and moment maps

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dc.creatorBursztyn, Henrique
dc.creatorPonte, David Iglesias
dc.creatorSevera, Pavol
dc.date2008-01-10
dc.date2008-07-18
dc.date.accessioned2026-07-07T09:50:48Z
dc.date.available2026-07-07T09:50:48Z
dc.descriptionWe study Hamiltonian spaces associated with pairs (E,A), where E is a Courant algebroid and A\subset E is a Dirac structure. These spaces are defined in terms of morphisms of Courant algebroids with suitable compatibility conditions. Several of their properties are discussed, including a reduction procedure. This set-up encompasses familiar moment map theories, such as group-valued moment maps, and it provides an intrinsic approach from which different geometrical descriptions of moment maps can be naturally derived. As an application, we discuss the relationship between quasi-Poisson and presymplectic groupoids.
dc.description18 pages. v2: Minor corrections, one example (Example 2.11) added. v3: Remark 2.5 fixed. To appear in Math. Research Letters
dc.identifierhttps://arxiv.org/abs/0801.1663
dc.identifierhttp://arxiv.org/abs/0801.1663
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165070
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.titleCourant morphisms and moment maps
dc.typetext

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