Corpus ID: 225094156

Soergel bimodules and matrix factorizations.

  title={Soergel bimodules and matrix factorizations.},
  author={Alexei Oblomkov and Lev Rozansky},
  journal={arXiv: Geometric Topology},
We establish an isomorphism between the Khovanov-Rozansky triply graded link homology and the geometric triply graded homology due to the authors. Hence we provide an interpretation of the Khovanov-Rozansky homology of the closure of a braid $\beta$ as the space of derived sections of a $\mathbb{C}^*\times \mathbb{C}^*$- equivariant sheaf $Tr(\beta)$ on the Hilbert scheme $Hilb_n(\mathbb{C}^2)$, thus proving a version of Gorsky-Negut-Rasmussen conjecture \cite{GorskyNegutRasmussen16}. As a… Expand
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