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arXiv · 0704.1313

Mutant knots and intersection graphs

S. V. Chmutov·S. K. Lando
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Abstract

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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BibTeXRIS

S. V. Chmutov, S. K. Lando. 2007-04-10. Mutant knots and intersection graphs. https://doi.org/10.2140/agt.2007.7.1579

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