Covering Spaces over Claspered Knots
Geometric Topology
2007-05-23 v3 Quantum Algebra
Abstract
In this note we reconsider a familiar result in Vassiliev knot theory - that the coefficients of the Alexander-Conway polynomial determine the top row of the Kontsevich integral - from the point of view of Kazuo Habiro's clasper theory. We observe that in this setting the calculation reflects the topology of the universal cyclic covering space of a claspered knot's complement.
Cite
@article{arxiv.math/9901029,
title = {Covering Spaces over Claspered Knots},
author = {Andrew Kricker},
journal= {arXiv preprint arXiv:math/9901029},
year = {2007}
}
Comments
9 pages, 6 figures. Referencing updated, and improved