Corpus ID: 119612787

Hilbert schemes and $y$-ification of Khovanov-Rozansky homology

  title={Hilbert schemes and \$y\$-ification of Khovanov-Rozansky homology},
  author={Eugene Gorsky and Matthew Hogancamp},
  journal={arXiv: Geometric Topology},
Author(s): Gorsky, Eugene; Hogancamp, Matthew | Abstract: We define a deformation of the triply graded Khovanov-Rozansky homology of a link $L$ depending on a choice of parameters $y_c$ for each component of $L$, which satisfies link-splitting properties similar to the Batson-Seed invariant. Keeping the $y_c$ as formal variables yields a link homology valued in triply graded modules over $\mathbb{Q}[x_c,y_c]_{c\in \pi_0(L)}$. We conjecture that this invariant restores the missing $Q… Expand
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