This is an old course webpage
Math 236: Heegaard Floer homology
Winter 2021
Instructor: Sucharit Sarkar.
Class: MWF 11:00-11:50, Zoom (link posted on
CCLE).
Office hrs: MF 10:00-11:00 (same Zoom link).
Exams and grading: There will be a final take-home exam (total time 24hr) for all the students who require a grade at the end of the course, and the grade will be
recorded in
CCLE.
Topics: Heegaard Floer homology. This is a fairly recent and extremely active field of research in low-dimensional topology. It associates new homology theories to
3-manifolds and knots and links inside them, and these invariants carry a lot of geometric information about the underlying objects; the theory has been extended for 2-manifolds and
4-manifolds as well. Being recent, there are no good books on the topic. So we will cover (a subset of) the material from the following sources (arranged chronologically).
Lecture notes:
Original Ozsvath-Szabo papers: