Algebra and Geometry Seminar

The talk is based on joint work with L. Rozansky. In our previous work we explained how one can associate to a braid on $n$ strands complex of coherent $\mathbb{C}^* \times \mathbb{C}^*$ -equariant sheaves on $\mathrm{Hilb}_n(\mathbb{C}^2)$. In my talk, I explain how the categorical Nakajima operators fit into the picture. Roughly, the Nakajima operators correspond to adding extra strands to the braid. I will also show how this observation allows us to compute the homology of torus link (and more).