Seifert surfaces, Commutators and Vassiliev invariants

Details Seifert surfaces, Commutators and Vassiliev invariants Seifert surfaces, Commutators and Vassiliev invariants

2007-09-11

arxiv.org/abs/0709.1689v1

J. of Knot Theory and its Ramifications, Vol. 16, no. 10(2007), 1295-1329

Mathematics

Geometric Topology

35 pages, 13 Figures. To appear in the J. of Knot Theory and its Ramifications (special volume in honor of L. Kauffman)

Scientific paper

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.

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