Showing math.GTShow all
3 papers · 1 filter
math.GT2025
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…
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 , indexed by triangular partitions and prove that agrees with the Poincaré series of the…
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…