André-Quillen cohomology and rational homotopy of function spaces

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dc.creatorBlock, Jonathan
dc.creatorLazarev, Andrey
dc.date2003-06-28
dc.date.accessioned2026-07-07T04:59:15Z
dc.date.available2026-07-07T04:59:15Z
dc.descriptionWe develop a simple theory of André-Quillen cohomology for commutative differential graded algebras over a field of characteristic zero. We then relate it to the homotopy groups of function spaces and spaces of homotopy self-equivalences of rational nilpotent $CW$-complexes. This puts certain results of Sullivan in a more conceptual framework.
dc.identifierhttps://arxiv.org/abs/math/0306406
dc.identifierhttp://arxiv.org/abs/math/0306406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67911
dc.subjectAlgebraic Topology
dc.subjectK-Theory and Homology
dc.subject55P62, 13D03, 16E45
dc.titleAndré-Quillen cohomology and rational homotopy of function spaces
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