5 citations · 7 across the 4 of their papers we have counts for
7 papers
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…
A skein relation for singular Soergel bimodules
Matthew Hogancamp, David E. V. Rose, Paul Wedrich
We study the skein relation that governs the HOMFLYPT invariant of links colored by one-column Young diagrams. Our main result is a categorification of this colored skein relation.…
A coupled Temperley-Lieb algebra for the superintegrable chiral Potts chain
Remy Adderton, Murray T. Batchelor, Paul Wedrich
The hamiltonian of the -state superintegrable chiral Potts (SICP) model is written in terms of a coupled algebra defined by types of Temperley-Lieb generators. This genera…
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…
Khovanov homology and categorification of skein modules
Hoel Queffelec, Paul Wedrich
For every oriented surface of finite type, we construct a functorial Khovanov homology for links in a thickening of the surface, which takes values in a categorification of the cor…