9 citations · 17 across the 9 of their papers we have counts for
7 papers · 1 filter
Stable deformed homology of torus knots
William Ballinger, Eugene Gorsky, Matthew Hogancamp +1
We compute the page in the Rasmussen spectral sequence from triply graded to Khovanov--Rozansky stable homology of torus knots. This confirms a weak form of…
A Kirby color for Khovanov homology
Matthew Hogancamp, David E. V. Rose, Paul Wedrich
We construct a Kirby color in the setting of Khovanov homology: an ind-object of the annular Bar-Natan category that is equipped with a natural handle slide isomorphism. Using func…
Link splitting deformation of colored Khovanov--Rozansky homology
Matthew Hogancamp, David E. V. Rose, Paul Wedrich
We introduce a multi-parameter deformation of the triply-graded Khovanov--Rozansky homology of links colored by one-column Young diagrams, generalizing the "-ified" link homolog…
Derived traces of Soergel categories
Eugene Gorsky, Matthew Hogancamp, Paul Wedrich
We study two kinds of categorical traces of (monoidal) dg categories, with particular interest in categories of Soergel bimodules. First, we explicitly compute the usual Hochschild…
Torus link homology
Matthew Hogancamp, Anton Mellit
We compute the triply graded Khovanov-Rozansky homology of a family of links, including positive torus links and -colored torus knots.
The Fukaya category of the pillowcase, traceless character varieties, and Khovanov Cohomology
Matthew Hedden, Christopher M. Herald, Matthew Hogancamp +1
For a diagram of a 2-stranded tangle in the 3-ball we define a twisted complex of compact Lagrangians in the triangulated envelope of the Fukaya category of the smooth locus of the…