Corpus ID: 125793933

Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology

  title={Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology},
  author={Gorsky Evgeny and Negut Andrei and Rasmussen Jacob},
  journal={arXiv: Geometric Topology},
Author(s): Gorsky, Eugene; Neguţ, Andrei; Rasmussen, Jacob | Abstract: We construct a categorification of the maximal commutative subalgebra of the type $A$ Hecke algebra. Specifically, we propose a monoidal functor from the (symmetric) monoidal category of coherent sheaves on the flag Hilbert scheme to the (non-symmetric) monoidal category of Soergel bimodules. The adjoint of this functor allows one to match the Hochschild homology of any braid with the Euler characteristic of a sheaf on the… 
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Author(s): Gorsky, Eugene; Hawkes, Graham; Schilling, Anne; Rainbolt, Julianne | Abstract: Recent work of the first author, Negut and Rasmussen, and of Oblomkov and Rozansky in the context of
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Categorified Young symmetrizers and stable homology of torus links
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