Kirwan map

id: kirwan-map-314-7924587
title: Kirwan map
text: In differential geometry, the Kirwan map, introduced by British mathematician Frances Kirwan, is the homomorphism where M is a Hamiltonian G-space; i.e., a symplectic manifold acted by a Lie group G with a moment map μ : M → g ∗ . H G ∗ is the equivariant cohomology ring of M ; i.e.. the cohomology ring of the homotopy quotient E G × G M of M by G . M / / p G = μ − 1 / G is the symplectic quotient of M by G at a regular central value p ∈ Z of μ . It is defined as the map of equivariant cohomolog
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original url: https://en.wikipedia.org/wiki/Kirwan_map
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date modified: 2022-10-22T23:24:15Z
main entity: {"identifier":"Q16969669","url":"https://www.wikidata.org/entity/Q16969669"}
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