An introduction to equivariant cohomology and homology, following Goresky, Kottwitz, and MacPherson

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dc.creatorTymoczko, Julianna S.
dc.date2005-03-17
dc.date.accessioned2026-07-07T05:18:06Z
dc.date.available2026-07-07T05:18:06Z
dc.descriptionThis paper provides an introduction to equivariant cohomology and homology using the approach of Goresky, Kottwitz, and MacPherson. When a group G acts suitably on a variety X, the equivariant cohomology of X can be computed using the combinatorial data of a skeleton of G-orbits on X. We give both a geometric definition and the traditional definition of equivariant cohomology. We include a discussion of the moment map and an algorithm for finding a set of generators for the equivariant cohomology of X. Many examples and explicit calculations are provided.
dc.description20 pages; an expository paper delivered at the 2004 AMS conference for young algebraic geometers
dc.identifierhttps://arxiv.org/abs/math/0503369
dc.identifierhttp://arxiv.org/abs/math/0503369
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74541
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject55N51; 14F43
dc.titleAn introduction to equivariant cohomology and homology, following Goresky, Kottwitz, and MacPherson
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