Introduction to Heegaard Floer Homology

Course Description and Grading Breakdown

Heegaard Floer homology is a powerful theory in low-dimensional topology introduced by Peter Ozsv\'ath and Zolt\'an Szab\'o.  In
this course, we will give a brief introduction to Heegaard Floer homology. Depending on the background of the students, we may cover the following topics:  the construction and invariance of Heegaard Floer homology, maps induced by cobordisms, exact triangles, knot Floer homology, nice diagrams, the absolute grading and correction terms, Thurston norm and fibration, slice genus bound and concordance group, lens space surgery, relationship with Khovanov homology.

Course Meeting Time and Location
Tuesday and Thursday
10:30 - 11:55 am
122 Math Building (Building 15)

Course Instructor Contact Information and Office Hours
109 Math Building (Building 15)

Course Schedule and Textbook

Course Policies
Late work - 

 Date PostedAssignment Due Date 

Midterm and Final Exam

Collaboration Table
You may consult:  
Course textbook (including answers in the back)YESYES
Other booksYESNO
Solution manualsNONO
Your notes (taken in class)YESYES
Class notes of othersYESNO
Your hand copies of class notes of othersYESYES
Photocopies of class notes of othersYESNO
Electronic copies of class notes of othersYESNO
Course handoutsYESYES
Your returned homework / examsYESYES
Solutions to homework / exams (posted on webpage)YESYES
Homework / exams of previous yearsNONO
Solutions to homework / exams of previous yearsNONO
Emails from TAsYESNO
You may:

Discuss problems with othersYESNO
Look at communal materials while writing up solutionsYESNO
Look at individual written work of othersNONO
Post about problems onlineNONO
For computational aids, you may use:


* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work.  For example, "by Mathematica" is not an acceptable justification for deriving one equation from another.  Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them.