Link to Papers:

• An Introduction to Heegaard Floer Homology (the "easy" paper)
• Holomorphic Disks, Link Invariants and the Multivariable Alexander Polynomial (the "second most recent" paper and the paper that we will strive to understand)
• Link Floer Homology and the Thurston Norm (the "most recent paper" in the subject - 1/26/06)
• Floer Homology and Knot Complements (J. Rasmussen's thesis where he defined Knot Floer Homology)

• Holomorphic Disks and Knot Invariants (Oszvath/Szabo define Knot Floer Homology)
• Holomorphic Disks and Genus Bounds (an "advanced" paper; knot Floer homology determines the genus of a knot)
• Holomorphic Disks and Topological Invariants for Closed three-manifolds (definition of Heegaard Floer Homology of a 3-manifold)
• Holomorphic Disks and Three-manifold Invariants: Properties and Applications (applications of Heegaard Floer Homology of 3-manifolds)