Wilson punctured network defects in 2D q -deformed Yang-Mills theory

In the context of class s theories and 4d/2d duality relations there, we discuss the skein relations of general topological defects on the 2d side which are expected to be counterparts of composite surface-line operators in 4d class s theory. such defects are geometrically interpreted as networks in a three dimensional space. we also propose a conjectural computational procedure for such defects in two dimensional su(n ) topological q-deformed yang-mills theory by interpreting it as a statistical mechanical system associated with ideal triangulations.