Multiplicative Aspects of the Halperin-Carlsson Conjecture

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dc.creatorPuppe, Volker
dc.date2008-11-21
dc.date.accessioned2026-07-07T10:20:06Z
dc.date.available2026-07-07T10:20:06Z
dc.descriptionWe use the multiplicative structure of the Koszul resolution to give short and simple proofs of some known estimates for the total dimension of the cohomology of spaces which admit free torus actions and analogous results for filtered differential modules over polynomial rings. We also point out the possibility of improving these results in the presence of a multiplicative structure on the so-called minimal Hirsch-Brown model for the equivariant cohomology of the space.
dc.identifierhttps://arxiv.org/abs/0811.3517
dc.identifierhttp://arxiv.org/abs/0811.3517
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174742
dc.subjectAlgebraic Topology
dc.subjectCommutative Algebra
dc.subject57S99, 55N91, 58D19, 13D02,13D25
dc.titleMultiplicative Aspects of the Halperin-Carlsson Conjecture
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