Title
Survey of Heegaard Floer homologies and contact structures
Abstract
Ozsbáth and Szabó introduced an invariant for a given contact 3-manifold by using Heegaard Floer homologies. In this talk, first we recall the definition of this invariant, and then we review some properties and results of this invariant. Particular, we exhibit an alternative description of this invariant given by Honda, Kazez and Matic.