Categorified colored HOMFLY invariants of rational tangles

27.11.2014 14:15

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.

Lieu

salle 17, séminaire de Topologie et Géométrie

Organisé par

Section de mathématiques

Intervenants

Paul Wedrich , Cambridge

entrée libre

Classement

Catégorie: Séminaire