26 citations · 157 across the 26 of their papers we have counts for
29 papers
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…
Drinfeld centralizers and Rouquier complexes
Ben Elias, Matthew Hogancamp
The Drinfeld centralizer of a monoidal category in a bimodule category is the category of objects in $\mathcal{M}…
Khovanov-Rozansky homology of Coxeter knots and Schröder polynomials for paths under any line
Carmen Caprau, Nicolle González, Matthew Hogancamp +1
We introduce a family of generalized Schröder polynomials , indexed by triangular partitions and prove that agrees with the Poincaré series of the trip…
Bordered invariants from Khovanov homology
Matthew Hogancamp, David E. V. Rose, Paul Wedrich
To every compact oriented surface that is composed entirely out of 2-dimensional 0- and 1-handles, we construct a dg category using structures arising in Khovanov homology. These d…
On unification of colored annular sl(2) knot homology
Anna Beliakova, Matthew Hogancamp, Krzysztof Karol Putyra +1
We show that the Khovanov and Cooper-Krushkal models for colored sl(2) homology are equivalent in the case of the unknot, when formulated in the quantum annular Bar-Natan category.…
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…