Sur l'homologie des espaces de noeuds non-compacts

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dc.creatorTourtchine, Victor
dc.date2000-10-02
dc.date.accessioned2026-07-07T04:37:47Z
dc.date.available2026-07-07T04:37:47Z
dc.descriptionThe spectral sequence constructed by V.A.Vassiliev computes the homology of the spaces of non-compact knots in ${\bf R}^d$, $d\ge 3$. In this work the first term of this spectral sequence is described in terms of the homology of the Hochschild complex for the Poisson algebras operad, if d is odd (resp. for the Gerstenhaber algebras operads, if d is even). In particular the bialgebra of chord diagrams arises as some subspace of this homology (in this case d=3). Also a simplification for the calculation of the Vassiliev spectral sequence in the first term is provided.
dc.description32 pages, 6 figures, in French
dc.identifierhttps://arxiv.org/abs/math/0010017
dc.identifierhttp://arxiv.org/abs/math/0010017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60032
dc.subjectQuantum Algebra
dc.subjectAlgebraic Topology
dc.titleSur l'homologie des espaces de noeuds non-compacts
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