The equivariant cohomology of Hamiltonian $G$-spaces From Residual $S^1$ Actions

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dc.creatorGoldin, Rebecca
dc.creatorHolm, Tara S.
dc.date2001-07-18
dc.date.accessioned2026-07-07T04:42:38Z
dc.date.available2026-07-07T04:42:38Z
dc.descriptionWe show that for a Hamiltonian action of a compact torus $G$ on a compact, connected symplectic manifold $M$, the $G$-equivariant cohomology is determined by the residual $S^1$ action on the submanifolds of $M$ fixed by codimension-1 tori. This theorem allows us to compute the equivariant cohomology of certain manifolds, which have pieces that are four-dimensional or smaller. We give several examples of the computations that this allows.
dc.description13 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0107131
dc.identifierhttp://arxiv.org/abs/math/0107131
dc.identifierMath. Res. Let. {\bf 8} (2001), 67-78
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61869
dc.subjectSymplectic Geometry
dc.subject53D05 (primary); 53D20,55N91 (secondary)
dc.titleThe equivariant cohomology of Hamiltonian $G$-spaces From Residual $S^1$ Actions
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