Knot invariants and the Bollobás-Riordan polynomial of embedded graphs (Q2462321)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Knot invariants and the Bollobás-Riordan polynomial of embedded graphs |
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Knot invariants and the Bollobás-Riordan polynomial of embedded graphs (English)
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30 November 2007
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The author considers graphs in closed, orientable surfaces and associated links in their thickenings. He uses knot theory to prove a duality relation for the Bollobás-Riordan polynomial, and he gives an application to knot theory by showing that the genus of the smallest surface containing a link projection can be recovered from its HOMFLY polynomial.
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associated links
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HOMFLY polynomial
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(weighted) Tutte polynomial
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