Symplectic methods in lowdimensional topology: Math 566
Meeting time: T Th 1112:20
Classroom: Fine 1001
Instructor: Peter Ozsváth
phone: 6092584222
email:
petero@math.princeton.edu
office: 1106
office hrs: TBA.
The course:
The pace (and hence the material covered) will depend on the
audience. I plan to give a little introduction to grid homology, and
then move on to give an introduction to Heegaard Floer homology, and
conclude with recent developments (especially with bordered Floer
homology).
Recommended reading:

J. Milnor Morse Theory. Everyone should know this.

Ana Canas da Silva Lectures on Symplectic Geometry. Basic background on symplectic geometry.

R. Gompf and A. Stipsicz
4Manifolds and Kirby Calculus, especially Chapter 2. Background on (4dimensional) differential topology.

M. Audin and M. Damian Morse theory and Floer homology. This is useful background for Floer homology.

P. S. Ozsváth, A. Stipsicz Z. Szabó Grid homology for knots and links.
A very gently introduction to a combinatorial model for knot Floer homology.
I will also hand out notes on a book I am writing with Stipsicz and Szabó. Here is what's available so far.
I have taught this course many times in the
past. See here for a very detailed
syllabus from last year.