Seifert surfaces, Commutators and Vassiliev invariants
Geometric Topology
2008-03-24 v1 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.0709.1689,
title = {Seifert surfaces, Commutators and Vassiliev invariants},
author = {Efstratia Kalfagianni and Xiao-Song Lin},
journal= {arXiv preprint arXiv:0709.1689},
year = {2008}
}
Comments
35 pages, 13 Figures. To appear in the J. of Knot Theory and its Ramifications (special volume in honor of L. Kauffman)