Knot Homology and sheaves on the Hilbert scheme of points on the plane

Alexei Oblomkov, Lev Rozansky

For each braid $\beta \in B{r}_n$ we construct a $2$-periodic complex ${\mathbb{S}}_{\beta }$ of quasi-coherent ${\mathbb{C}}^{\ast }\times {\mathbb{C}}^{\ast }$-equivariant sheaves on the non-commutative nested…