Extremal Coefficients in the HOMFLY polynomial

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• Tamas Kalman, Tokyo
• Wednesday 11 November 2009, 16:00-17:00
• MR 13.

If you have a question about this talk, please contact Jake Rasmussen.

I will report on a (as yet conjectural) connection between the Seifert graph of an alternating link and its Homfly polynomial P. The formula is analogous to a result of Thistlethwaite concerning the Kauffman polynomial. It involves terms of P in which the exponent of the Conway variable z reaches a maximum. These are related to a previously unknown version of the Tutte polynomial for hypergraphs. That new invariant also satisfies a refined form of Tutte’s Tree Trinity Theorem about planar bipartite graphs.

This talk is part of the Differential Geometry and Topology Seminar series.

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