Convexity of multi-valued momentum map

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dc.creatorGiacobbe, Andrea
dc.date2000-04-10
dc.date.accessioned2026-07-07T04:34:42Z
dc.date.available2026-07-07T04:34:42Z
dc.descriptionWe extend the famous convexity theorem of Atiyah, Guillemin and Sternberg to the case of non-Hamiltonian actions. We show that the image of a generalized momentum map is a bounded polytope times a vector space. We prove that this picture is stable for small perturbations of the symplectic form. We also observe that an n-dimensional torus symplectic action on a 2n-dimensional symplectic manifold, with fixed point, is Hamiltonian. We finally prove that an extension of Kirwan's convexity theorem (for compact group actions) is also true.
dc.description21 pages, 2 pictures
dc.identifierhttps://arxiv.org/abs/math/0004061
dc.identifierhttp://arxiv.org/abs/math/0004061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59001
dc.subjectSymplectic Geometry
dc.subject53D; 37J
dc.titleConvexity of multi-valued momentum map
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