Topics in Geometric Topology: Hamiltonian Floer theory


Time and place: TR 9:30 am - 11:00 am, 66-144

Instructor: Shaoyun Bai

Course syllabus.

Lectures notes (Warning: these notes will likely be sloppy. Use at own risk.):
Week 1: Overview.
Week 2: Index theory.
Week 3: Transversality.
Week 4: Compactness.
Week 5: Gluing.
Week 6: Pontryagin-Thom construction and Kuranishi reduction.
Week 8: Smoothing theory (by Yonghwan Kim) and Cohomological splitting (by Thomas Massoni).
Week 7 and 9: Abouzaid-McLean-Smith.
Week 10: An application.
Week 11: Flow categories.