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arXiv · 0709.1689

Seifert surfaces, Commutators and Vassiliev invariants

Efstratia Kalfagianni·Xiao-Song Lin
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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.

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Efstratia Kalfagianni, Xiao-Song Lin. 2007-09-11. Seifert surfaces, Commutators and Vassiliev invariants. https://arxiv.org/abs/0709.1689

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