Fundamental Group and Heegaard Floer Homology

Heegaard Floer homology and Monopole Floer Homology play an important role in the study of low dimensional topology. A three-manifold is essentially determined by its fundamental group. Ozsvath and Szabo asked for a concrete relation between the fundamental group and Heegaard Floer homology. We will talk about such a concrete relation for (1,1)-knots. This is joint work with Xiliu Yang.