Return to Colloquia & Seminar listing
Homology of the Legendrian Contact DG-Algebra for the Rainbow Closure of Positive Braids
Student-Run Research Seminar| Speaker: | Alex Simons, UC Davis |
| Location: | 3106 MSB |
| Start time: | Wed, May 8 2024, 12:10PM |
Given a positive braid $\beta$, there is a natural way to take the closure and obtain a Legendrian knot. We prove that the associated Legendrian contact dg-algebra $\mathcal{A}_\beta$ is a resolution of the augmentation variety $H_0(\mathcal{A}_\beta)$. This allows us to compute derived invariants such as Hochschild homology, which has implications for Stein traces and derived algebraic geometry.
Free pizzas:)