On Vassiliev invariants of order two for string links
Geometric Topology
2009-09-29 v2
Abstract
We show that the Casson knot invariant, linking number and Milnor's triple linking number, together with a certain 2-string link invariant , are necessary and sufficient to express any string link Vassiliev invariant of order two. Explicit combinatorial formulas are given for these invariants. This result is applied to the theory of claspers for string links.
Keywords
Cite
@article{arxiv.math/0402036,
title = {On Vassiliev invariants of order two for string links},
author = {Jean-Baptiste Meilhan},
journal= {arXiv preprint arXiv:math/0402036},
year = {2009}
}
Comments
18 pages. Typos and mistakes corrected. To appear in J. Knot Th. Ramifications