Séminaire Algèbre Géométrie Algébrique Topologie Algébrique :

Le 01 juillet 2010 à 11:15 - salle 431

Présentée par Geer Nathan -

Modified 6j-Symbols and States Sums on Triangulated 3-Manifolds.

Following V. Turaev and O. Viro, I will discuss a construction which leads to information about the topology of a 3-manifold from one of its triangulation. This construction is based on algebraic tools which are 6-parameter quantities called 6j-symbols. I will explain how the Turaev-Viro invariant of 3-manifolds can be modify to fit the context of nilpotent representations of quantized sl(2) at a root of unity. This is joint work with B. Patureau and V. Turaev.