Sorbonne Université CNRS Paris Diderot

Séminaire de Topologie

Categorified colored HOMFLY invariants of rational tangles

Paul Wedrich - Cambridge

jeudi 4 décembre 2014 à 15:30
Bâtiment Sophie Germain - amphi Turing

The colored Jones and HOMFLY polynomials are invariants of knots in S^3 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 B^3. 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.

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