Fatemeh Douroudian
Combinatorial knot Floer homology for branched covers

 In this talk we discuss the combinatorial knot Floer homology with coefficients in $\mathbb{Z}$ for the pullback of a knot $K \in S^3$ in its branched cover. Given a grid diagram for a knot, we construct a chain complex. In order to define the boundary map, we use the machinery of the formal sign assignments and show that the "stable" combinatorial Floer homology is an invariant of the knot i.e. it is independent from the chosen diagram.