A note on Vassiliev invariants of quasipositive knots
Geometric Topology
2007-05-23 v2
Abstract
It has been known that any Alexander polynomial of a knot can be realized by a quasipositive knot. As a consequence, the Alexander polynomial cannot detect quasipositivity. In this paper we prove a similar result about Vassiliev invariants: for any oriented knot K and any natural number n there exists a quasipositive knot Q whose Vassiliev invariants of order less than or equal to n coincide with those of K.
Cite
@article{arxiv.math/0412453,
title = {A note on Vassiliev invariants of quasipositive knots},
author = {Sebastian Baader},
journal= {arXiv preprint arXiv:math/0412453},
year = {2007}
}
Comments
7 pages, 7 figures, one erroneous statement removed, more details in proof