We will read research papers related to the immersed curves interpretation of the Khovanov homology of 4-ended tangles, starting with Kotelskiy-Watson-Zibrowius' original paper:
[KWZ]
If we have enough time, we might also look at the applications to mutation invariance, or the immersed curves version of knot Floer homology.
We will plan to more or less work through the paper linearly, and won't plan more than a week or so in advance.
| Date | Speaker | Topic |
|---|---|---|
| 1/16 | Jake Garcia | Overview of immersed curves technology for Khovanov homology |
| 1/23 | Ian Sullivan | Reduced Bar-Natan homology, analogous results for the type D invariant |
| 1/30 | Melissa Zhang | A-infinity structures: algebraic description of type D structures |
| 2/6 | Jake Garcia | arc systems, precurves, multicurves; the type D invariant for 4-ended tangles |
| 2/13 | Jake Garcia | arc systems, precurves, multicurves continued |
| 2/20 | (skipped) | - |
| 2/27 | Alex Simons | Curves and wrapped Lagrangian Floer homology |
| **3/6** in MSB 3240 (probably) | Ian Sullivan | Immersed curve invariant examples |
| 3/13 | Melissa Zhang & Ian Sullivan | Applications and various related topics |