Abstract:

We shall consider skein-relations where instead of coefficients we draw small pictures. This way, starting from the Kauffman bracket formalism, we get to a knot invariant (valued in pictures with modulo relations) which dominates not only the Kauffman bracket but also the Kuperberg bracket, the HOMFLY polynomial, arrow polynomial and the Kuperberg picture-valued invariant for virtual knots and knotoids.

This is a joint work with Alyona Akimova and Louis Kauffman.