Finite type enhancements of biquandle counting invariants

09/09/2014 - 12:15pm
09/09/2014 - 1:10pm
Sam Nelson (CMC)

Finite type invariants, also known as Vasiliev invariants, are integer-valued knot invariants satisfying a certain skein relation. Many of the coefficients of the Jones and Alexander polynomials, for example, are known to be Vassiliev invariants, and the set of all Vassiliev invariants dtermines a powerful invariant known as the Kontsevich integral. We adapt a scheme for computing finite type invariants due to Goussarov, Polyak and Viro to enhance the biquandle counting invariant. The simplest nontrivial case has connections to the concept of parity in virtual knot theory. This is joint work with Pomona student Selma Paketci.

Mudd Science Library 126, Pomona College
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There will be a short organizational meeting preceding the talk at 12:00 noon.

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