Corpus ID: 236134251

Link splitting deformation of colored Khovanov--Rozansky homology

@inproceedings{Hogancamp2021LinkSD,
  title={Link splitting deformation of colored Khovanov--Rozansky homology},
  author={Matthew Hogancamp and David E. V. Rose and Paul Wedrich},
  year={2021}
}
We introduce a multi-parameter deformation of the triply-graded Khovanov--Rozansky homology of links colored by one-column Young diagrams, generalizing the"$y$-ified"link homology of Gorsky--Hogancamp and work of Cautis--Lauda--Sussan. For each link component, the natural set of deformation parameters corresponds to interpolation coordinates on the Hilbert scheme of the plane. We extend our deformed link homology theory to braids by introducing a monoidal dg 2-category of curved complexes of… Expand
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