Course Description and Grading BreakdownHeegaard 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 LocationLectures Tuesday and Thursday 10:30 - 11:55 am 122 Math Building (Building 15) Course Instructor Contact Information and Office Hours109 Math Building (Building 15) Course Schedule and Textbook
Course PoliciesLate work - Assignments
Midterm and Final ExamCollaboration Table
* 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. |