Finite type knot invariants and calculus of functors

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dc.creatorVolic, Ismar
dc.date2004-01-30
dc.date2005-02-11
dc.date.accessioned2026-07-07T05:04:59Z
dc.date.available2026-07-07T05:04:59Z
dc.descriptionWe associate a Taylor tower supplied by calculus of the embedding functor to the space of long knots and study its cohomology spectral sequence. The combinatorics of the spectral sequence along the line of total degree zero leads to chord diagrams with relations as in finite type knot theory. We show that the spectral sequence collapses along this line and that the Taylor tower represents a universal finite type knot invariant.
dc.descriptionRevised; to appear in Compositio Mathematica
dc.identifierhttps://arxiv.org/abs/math/0401440
dc.identifierhttp://arxiv.org/abs/math/0401440
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70022
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject57R40; 57M27
dc.titleFinite type knot invariants and calculus of functors
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