Notes on GIT and symplectic reduction for bundles and varieties

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dc.creatorThomas, R. P.
dc.date2005-12-17
dc.date2006-09-18
dc.date.accessioned2026-07-07T07:43:17Z
dc.date.available2026-07-07T07:43:17Z
dc.descriptionThese notes give an introduction to Geometric Invariant Theory and symplectic reduction, with lots of pictures and simple examples. We describe their applications to moduli of bundles and varieties, and their infinite dimensional analogues in gauge theory and the theory of special metrics on algebraic varieties. Donaldson's "quantisation" link between the infinite and finite dimensional situations is described, as are surprisingly strong connections between the bundle and variety cases.
dc.descriptionExpanded version of talk at JDG 2005 conference, for "Surveys in Differential Geometry". 51 pages, 15 figures. Final version
dc.identifierhttps://arxiv.org/abs/math/0512411
dc.identifierhttp://arxiv.org/abs/math/0512411
dc.identifierSurveys in Differential Geometry, 10 (2006): A Tribute to Professor S.-S. Chern.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122767
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject14L24; 53D20; 53C07; 32Q20
dc.titleNotes on GIT and symplectic reduction for bundles and varieties
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