Schedule
Here is a tentative schedule for the course. Everything is subject to change throughout the semester.
| Week | Date | Topic |
|---|---|---|
| 1 | 4/4 | Motivation, applications, and course overview |
| 2 | 11/4 | Definitions and examples |
| 3 | 18/4 | Algebraic concordance (I) |
| 4 | 25/4 | Algebraic concordance (II), Intersection and linking forms |
| 5 | 2/5 | Twisted intersection forms, Casson-Gordon invariants (I) |
| 6 | 9/5 | Casson-Gordon invariants (II), Filtrations |
| 7 | 16/5 | Alexander ploynomial and topological sliceness (I) |
| 8 | 23/5 | Slice-Bennequin inequalities |
| -- | -- | Holiday |
| 9 | 6/6 | Class cancelled |
| 10 | 13/6 | Khovanov homology |
| 11 | 20/6 | Lee homology and the s-invariant |
| 12 | 27/6 | Alexander polynomial and topological sliceness (II), Donaldson obstructions |
| 13 | 4/7 | Exotic R4s, High dimensional knots |
| 14 | 11/7 | Open problems, Question session |