Math 8803: Heegaard Floer homology

Email: hom [at]
Location: Skiles 269
Time: MWF 9:05-9:55 am
Office: Skiles 220
Office hours: W 10-11 am, Th 10-11 am, and by appointment


Math 6441 (Algebraic Topology) or consent of instructor


Optional exercises will be interspersed throughout the lectures. Registered students are expectedly to regularly attend class and give a presentation in the Wednesday Geometry-Topology Student Seminar on a topic related to the course. Please come talk to me to discuss the topic of your talk and to schedule a date.


Expository papers:
P. Ozsváth and Z. Szabó, An introduction to Heegaard Floer homology
P. Ozsváth and Z. Szabó, Lectures on Heegaard Floer homology
P. Ozsváth and Z. Szabó, Heegaard diagrams and holomorphic disks
R. Lipshitz, Heegaard Floer homologies
C. Manolescu, An introduction to knot Floer homology
D. McDuff, Floer theory and low-dimensional topology

The original papers on Heegaard Floer homology:
P. Ozsváth and Z. Szabó, Holomorphic disks and topological invariants for closed three-manifolds
P. Ozsváth and Z. Szabó, Holomorphic disks and three-manifold invariants: properties and applications

Other references:
V. Turaev Torsion invariants of spin^c structures on 3-manifolds

Some references on low-dimensional topology:
N. Saveliev, Lectures on the topology of 3-manifolds
D. Rolfsen, Knots and links
R. Gompf and A. Stipsicz, 4-manifolds and Kirby calculus
R. Lickorish, An introduction to knot theory

Additional Information

All students are expected to comply with the Georgia Tech Honor Code.

Students with Disabilities and/or in need of Special Accommodations: Georgia Tech complies with the regulations of the Americans with Disabilities Act of 1990 and offers accommodations to students with disabilities. If you are in need of classroom accommodations, please make an appointment with the ADAPTS office to discuss the appropriate procedures.