Configuration spaces of an embedding torus and cubical spaces

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dc.creatorJourdan, Jean-Philippe
dc.date2006-03-21
dc.date.accessioned2026-07-07T07:07:07Z
dc.date.available2026-07-07T07:07:07Z
dc.descriptionFor a smooth manifold M obtained as an embedding torus, A U Cx[-1,1], we consider the ordered configuration space F_k(M) of k distinct points in M. We show that there is a homotopical cubical resolution of F_k(M) defined from the configuration spaces of A and C. From it, we deduce a universal method for the computation of the pure braid groups of a manifold. We illustrate the method in the case of the Mobius band.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0603496
dc.identifierhttp://arxiv.org/abs/math/0603496
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110271
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject55R80; 20F36; 18A30
dc.titleConfiguration spaces of an embedding torus and cubical spaces
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