Irving Dai
An introduction to Heegaard Floer homology
Abstract: We will give a broad overview of Heegaard Floer homology, focusing on applications to various topological questions. We will introduce the general setup and properties of the Heegaard Floer and knot Floer homology groups, discuss the surgery formula, and talk about L-spaces and L-space knots. If time permits, we will discuss some applications of Heegaard Floer homology to a variety of other questions, such as distinguishing exotic structures, sliceness obstructions, and so on.
