A one-dimensional embedding complex

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dc.creatorScannell, Kevin P.
dc.creatorSinha, Dev P.
dc.date2000-11-02
dc.date.accessioned2026-07-07T04:38:26Z
dc.date.available2026-07-07T04:38:26Z
dc.descriptionWe give the first explicit computations of rational homotopy groups of spaces of "long knots" in Euclidean spaces. We define a spectral sequence which converges to these rational homotopy groups whose E^1 term is defined in terms of braid Lie algebras. For odd k we establish a vanishing line for this spectral sequence, show the Euler characteristic of the rows of this E^1 term is zero, and make calculations of E^2 in a finite range.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0011020
dc.identifierhttp://arxiv.org/abs/math/0011020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60277
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57R40
dc.titleA one-dimensional embedding complex
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