A spectral sequence for string cohomology

dc.creatorBokstedt, Marcel
dc.creatorOttosen, Iver
dc.date2004-11-25
dc.date.accessioned2026-07-07T05:14:42Z
dc.date.available2026-07-07T05:14:42Z
dc.descriptionLet X be a 1-connected space with free loop space LX. We introduce two spectral sequences converging towards H^*(LX;Z/p) and H^*((LX)_hT;Z/p). The E2-terms are certain non Abelian derived functors applied to H^*(X;Z/p). When H^*(X;Z/p) is a polynomial algebra, the spectral sequences collapse for more or less trivial reasons. If X is a sphere it is a surprising fact that the spectral sequences collapse for p=2.
dc.description38 pages
dc.identifierhttps://arxiv.org/abs/math/0411571
dc.identifierhttp://arxiv.org/abs/math/0411571
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73375
dc.subjectAlgebraic Topology
dc.subject55N91; 55P35; 18G50
dc.titleA spectral sequence for string cohomology
dc.typetext

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