Mutant knots and intersection graphs

Details Mutant knots and intersection graphs Mutant knots and intersection graphs

2007-04-10

arxiv.org/abs/0704.1313v1

Mathematics

Geometric Topology

13 pages, many figures

Scientific paper

We prove that if a finite order knot invariant does not distinguish mutant
knots, then the corresponding weight system depends on the intersection graph
of a chord diagram rather than on the diagram itself. The converse statement is
easy and well known. We discuss relationship between our results and certain
Lie algebra weight systems.

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