Coformality and the rational homotopy groups of spaces of long knots

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dc.creatorArone, Gregory
dc.creatorLambrechts, Pascal
dc.creatorTourtchine, Victor
dc.creatorVolic, Ismar
dc.date2007-01-12
dc.date2007-09-19
dc.date.accessioned2026-07-07T08:30:39Z
dc.date.available2026-07-07T08:30:39Z
dc.descriptionWe show that the Bousfield-Kan spectral sequence which computes the rational homotopy groups of the space of long knots in ${\mathbb R}^d$, where $d\ge 4$, collapses at the $E^2$ page. The main ingredients in the proof are Sinha's cosimplicial model for the space of long knots and a coformality result for the little balls operad.
dc.description12 pages. Revised (and presumably final) version. Accepted for publication in Mathematical Research Letters
dc.identifierhttps://arxiv.org/abs/math/0701350
dc.identifierhttp://arxiv.org/abs/math/0701350
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138290
dc.subjectAlgebraic Topology
dc.subject57Q45
dc.titleCoformality and the rational homotopy groups of spaces of long knots
dc.typetext

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