The symplectic vortex equations and invariants of Hamiltonian group actions

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dc.creatorCieliebak, Kai
dc.creatorGaio, A. Rita
dc.creatorRiera, Ignasi Mundet i
dc.creatorSalamon, Dietmar
dc.date2001-11-15
dc.date2002-10-03
dc.date.accessioned2026-07-07T04:44:36Z
dc.date.available2026-07-07T04:44:36Z
dc.descriptionIn this paper we define invariants of Hamiltonian group actions for central regular values of the moment map. The key hypotheses are that the moment map is proper and that the ambient manifold is symplectically aspherical. The invariants are based on the symplectic vortex equations. Applications include an existence theorem for relative periodic orbits, a computation for circle actions on a complex vector space, and a theorem about the relation between the invariants introduced here and the Seiberg--Witten invariants of a product of a Riemann surface with a two-sphere.
dc.description87 pages
dc.identifierhttps://arxiv.org/abs/math/0111176
dc.identifierhttp://arxiv.org/abs/math/0111176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62657
dc.subjectSymplectic Geometry
dc.subject37Jxx; 53Dxx
dc.titleThe symplectic vortex equations and invariants of Hamiltonian group actions
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