Return to Colloquia & Seminar listing
The Skein Lasagna Module and Exotic 4-Manifolds
Student-Run Research Seminar| Speaker: | Ian Sullivan, UC Davis |
| Location: | 3106 MSB |
| Start time: | Wed, Oct 19 2022, 12:00PM |
In 2019, Scott Morrison, Kevin Walker, and Paul Wedrich extended Khovanov-Rozansky homology to an invariant $S$ of links in boundaries of 4-manifolds. For 2-handlebodies, this invariant is isomorphic to a "cabled" version of Khovanov-Rozansky homology, reducing computation to that of $\text{KhR}_{N}$ of certain families of knots/links. Since this new invariant is an extension of Khovanov-Rozansky homology, a natural question to ask is whether or not it can help with the 4-dim smooth manifold classification problem. In this talk, I will define this new invariant and describe the relevant properties, and talk about the current evidence that suggests that $S$ does indeed detect exotica.
Pizza at 11:50am.