# Categorified colored HOMFLY invariants of rational tangles

Paul Wedrich
(University of Cambridge)
Seminar
Onsdag, 9 juli, 2014, at 15:15-16:15, in Aud. D3 (1531-215)
Abstrakt:
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.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen