Categorified colored HOMFLY invariants of rational tangles

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• Paul Wedrich, Cambridge
• Wednesday 28 January 2015, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

The colored Jones and HOMFLY polynomials are invariants of knots in the 3-sphere that are defined via the representation theory of quantum sl(N). I will start by explaining how these invariants generalize to the case of tangles, i.e. knot fragments in the 3-ball. For the case of rational tangles, I will introduce a picture-way of computing a categorified version of colored HOMFLY polynomials, thereby proving a tangle-analogue of a conjecture of Gukov and Stosic. Based on joint work with Mihajlo Cekic and Jake Rasmussen.

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

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