- Glen Bredon,
*Topology and Geometry* - Robert Gompf and András Stipsicz,
*4-manifolds and Kirby calculus* - Victor Guillemin and Alan Pollack,
*Differential topology* - Allen Hatcher,
*Algebraic topology* - John Milnor and James Stasheff,
*Characteristic classes*

- Mikhail Khovanov,
*A categorification of the Jones polynomial* - Dror Bar-Natan,
*On Khovanov's categorification of the Jones polynomial*

- Peter Ozsváth and Zoltan Szabó,
*Holomorphic disks and topological invariants for closed three-manifolds* - Peter Ozsváth and Zoltan Szabó,
*Holomorphic disks and knot invariants* - Jacob Rasmussen,
*Floer homology and knot complements (PhD thesis)* - Peter Ozsváth and Zoltan Szabó,
*On Heegaard diagrams and holomorphic disks* - Manolescu, Ciprian,
*An introduction to knot Floer homology*

- Peter Kronheimer and Tomasz Mrowka,
*Gauge theory for embedded surfaces, I*(Introduction) - Lee Rudolph,
*Some knot theory of complex plane curves* - John Milnor,
*Singular points of complex hypersurfaces* - Charles Livingston,
*A survey of classical knot concordance*(Sec. 1-3)

- Eun Soo Lee,
*An endomorphism of the Khovanov invariant* - Jacob Rasmussen,
*Khovanov homology and the slice genus* - Ozsváth and Szabó,
*Knot Floer homology and the four-ball genus* - Stanislav Jabuka,
*Heegaard Floer homology and knot concordance: a survey of recent advances* - Ozsváth and Szabó,
*On knot Floer homology and lens space surgeries* - Louise Moser,
*Elementary surgery along a torus knot*

Lecture 1, 1/13

Lecture 2, 1/15

Lecture 3, 1/17

Lecture 4, 1/22

Lecture 5, 1/24

Lecture 6, 2/24

Lecture 7, 2/26

Lecture 8, 2/28

Lecture 9, 3/12

Lecture 10, 3/17

Lecture 11, 3/19

Lecture 12, 3/24

Lecture 13, 3/26

Lecture 14, 3/31

Lecture 15, 4/2

Lecture 16, 4/9

Lecture 17, 4/11

Lecture 18, 4/16

Lecture 19, 4/23

Lecture 20, 4/28

Lecture 21, 4/30

Problems