Title: Categorified colored HOMFLY invariants of rational tangles
2014.05.13 |
| Date | Wed 09 Jul |
| Time | 15:15 — 16:15 |
| Location | 1531-215 (Aud. D3) |
Abstract
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.
