Configuration space integrals and Taylor towers for spaces of knots

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dc.creatorVolic, Ismar
dc.date2004-01-21
dc.date2005-11-30
dc.date.accessioned2026-07-07T06:35:56Z
dc.date.available2026-07-07T06:35:56Z
dc.descriptionWe describe Taylor towers for spaces of knots arising from Goodwillie-Weiss calculus of the embedding functor and extend the configuration space integrals of Bott and Taubes from spaces of knots to the stages of the towers. We show that certain combinations of integrals, indexed by trivalent diagrams, yield cohomology classes of the stages of the tower, just as they do for ordinary knots.
dc.descriptionAccepted to Topol. Appl
dc.identifierhttps://arxiv.org/abs/math/0401282
dc.identifierhttp://arxiv.org/abs/math/0401282
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99943
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57Q45; 81Q30
dc.titleConfiguration space integrals and Taylor towers for spaces of knots
dc.typetext

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