Regular Seifert surfaces and Vassiliev knot invariants
| dc.creator | Kalfagianni, Efstratia | |
| dc.creator | Lin, Xiao-Song | |
| dc.date | 1998-04-06 | |
| dc.date | 1999-11-19 | |
| dc.date.accessioned | 2026-07-07T05:24:20Z | |
| dc.date.available | 2026-07-07T05:24:20Z | |
| dc.description | We show that the Vassiliev invariants of orders $\leq n$ 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. As a consequence of this, we obtain that the Vassiliev invariants of the knot $K=\partial S$ are null-concordance obstructions of certain links that can be obtained from regular spines of S. We also discuss various generalizations of these results, and we conjecture a geometric characterization of knots whose invariants of all orders vanish. | |
| dc.description | 54 pages. Exposition extensively revised | |
| dc.identifier | https://arxiv.org/abs/math/9804032 | |
| dc.identifier | http://arxiv.org/abs/math/9804032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76797 | |
| dc.subject | Geometric Topology | |
| dc.title | Regular Seifert surfaces and Vassiliev knot invariants | |
| dc.type | text |