Intersection Graphs for String Links

Details Intersection Graphs for String Links Intersection Graphs for String Links

2003-12-17

arxiv.org/abs/math/0312347v2

J. Knot Theory Ramif., Vol. 15, No. 1, 2006, pp. 53-72

Mathematics

Geometric Topology

15 pages, many figures

Scientific paper

We extend the notion of intersection graphs for knots in the theory of finite
type invariants to string links. We use our definition to develop weight
systems for string links via the adjacency matrix of the intersection graph,
and show that these weight systems are related to the weight systems induced by
the Conway and Homfly polynomials.

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