Séance Séminaire

Séminaire Algèbre Géométrie Algébrique Topologie Algébrique

A geometric Field Theory from the Kauffman Bracket skein algebra

We will define a class of representations of skein algebras we call "trace preserving" and show that they are a well behaved geometric object whose GIT quotient is the variety of shadows associated to the skein algebra. From this we will outline the construction of a field theory that assigns objects to manifolds equipped with a representation of their fundamental group into SL(2,C) that has Zariski dense image.