Seifert surfaces, Commutators and Vassiliev invariants

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We show that the Vassiliev invariants of a knot K, are obstructions to finding a regular Seifert surface, S, whose complement looks "simple" (e.g. like the complement of a disc) to the lower central series of its fundamental group.
35 pages, 13 Figures. To appear in the J. of Knot Theory and its Ramifications (special volume in honor of L. Kauffman)

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Geometric Topology, Quantum Algebra, 57M25, 57N10

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http://salesiana.dossiersoluciones.com/handle/123456789/157230

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.1689
 http://arxiv.org/abs/0709.1689
 J. of Knot Theory and its Ramifications, Vol. 16, no. 10(2007), 1295-1329

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arXiv