Heegaard - Floer theory is a 4-dimensional topological fi theory. It has been partially extended down to dimension 2 : Lipshitz-Oszvath-Thurston construct eda differential algebra for a surface equipped with some extras tructure. Douglas and Manolescu started building a partial extension down to dimension 1. I will discuss joint work with Andy Manion where we explain a gluing mechanism for surfaces.This is based on the construction of a monoidal 2- category of 2-representations of gl(1|1)+.