Loop spaces of configuration spaces and finite type invariants

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dc.creatorKohno, Toshitake
dc.date2002-11-04
dc.date2003-09-09
dc.date.accessioned2026-07-07T04:52:37Z
dc.date.available2026-07-07T04:52:37Z
dc.descriptionThe total homology of the loop space of the configuration space of ordered distinct n points in R^m has a structure of a Hopf algebra defined by the 4-term relations if m>2. We describe a relation of between the cohomology of this loop space and the set of finite type invariants for the pure braid group with n strands. Based on this we give expressions of certain link invariants as integrals over cycles of the above loop space.
dc.descriptionPublished by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper10.abs.html Version 2: corrections to superscripts on pages 148 and 149
dc.identifierhttps://arxiv.org/abs/math/0211056
dc.identifierhttp://arxiv.org/abs/math/0211056
dc.identifierGeom. Topol. Monogr. 4 (2002) 143-160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65534
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject55P35, 20F36, 57M27
dc.titleLoop spaces of configuration spaces and finite type invariants
dc.typetext

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