Exact cohomology sequences with integral coefficients for torus actions

dc.creatorFranz, Matthias
dc.creatorPuppe, Volker
dc.date2005-05-27
dc.date2006-09-10
dc.date.accessioned2026-07-07T08:37:11Z
dc.date.available2026-07-07T08:37:11Z
dc.descriptionUsing methods applied by Atiyah in equivariant K-theory, Bredon obtained exact sequences for the relative cohomologies (with rational coefficients) of the equivariant skeletons of (sufficiently nice) T-spaces, T=(S^1)^n, with free equivariant cohomology over the cohomology of BT. Here we characterise those finite T-CW complexes with connected isotropy groups for which an analogous result holds with integral coefficients.
dc.descriptionsimilar main result as in our preprint math.AT/0307112, but the proof is more elementary; 10 pages; final version
dc.identifierhttps://arxiv.org/abs/math/0505607
dc.identifierhttp://arxiv.org/abs/math/0505607
dc.identifierTransformation Groups 12 (2007), 65-76
dc.identifierdoi:10.1007/s00031-005-1127-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140316
dc.subjectAlgebraic Topology
dc.subject55N91 (primary), 53D20 (secondary)
dc.titleExact cohomology sequences with integral coefficients for torus actions
dc.typetext

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