Matthew Hogancamp

activity

20122025

y

-ification of Khovanov-Rozansky homology

26 citations · 157 across the 26 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.RT2024

Drinfeld centralizers and Rouquier complexes

Ben Elias, Matthew Hogancamp

The Drinfeld centralizer of a monoidal category $A$ in a bimodule category $M$ is the category $Z (A, M)$ of objects in $\mathcal{M}…

math.GT2024

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 $S_{τ} (q, t, a)$ , indexed by triangular partitions $τ$ and prove that $S_{τ} (q, t, a)$ agrees with the Poincaré series of the trip…

math.GT2024

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…