Symplectic implosion and non-reductive quotients

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dc.creatorKirwan, Frances
dc.date2008-12-15
dc.date.accessioned2026-07-07T12:12:53Z
dc.date.available2026-07-07T12:12:53Z
dc.descriptionThe symplectic implosion construction of Guillemin, Jeffrey and Sjamaar associates to a Hamiltonian action of a compact group K on a symplectic manifold X its 'imploded cross section'. When X is a complex projective variety and K acts linearly on X, this construction is closely related to geometric invariant theory (GIT) for the action on X of a maximal unipotent subgroup U of the complexification G of K. The aim of this paper is to generalise symplectic implosion to give a symplectic construction for GIT-like quotients by unipotent radicals U of arbitrary parabolic subgroups P of the complex reductive group G acting linearly on the projective variety X.
dc.descriptionFor the proceedings of the 65th birthday conference for Hans Duistermaat, Utrecht 2007
dc.identifierhttps://arxiv.org/abs/0812.2782
dc.identifierhttp://arxiv.org/abs/0812.2782
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210694
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject14L24; 53D20
dc.titleSymplectic implosion and non-reductive quotients
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