4 citations · 4 across the 1 of their papers we have counts for
4 papers
Colored Khovanov-Rozansky homology for infinite braids
Michael Abel, Michael Willis
We show that the limiting unicolored Khovanov-Rozansky chain complex of any infinite positive braid categorifies a highest-weight projector. This result extends…
HOMFLY-PT homology for general link diagrams and braidlike isotopy
Michael Abel
Khovanov and Rozansky's categorification of the HOMFLY-PT polynomial is invariant under braidlike isotopies for any link diagram and Markov moves for braid closures. To define HOMF…
Categorified Young symmetrizers and stable homology of torus links II
Michael Abel, Matthew Hogancamp
We construct complexes of Soergel bimodules which categorify the Young idempotents corresponding to one-column partitions. A beautiful recent conjecture of Gorsky-Rasmuss…
Categorified Young symmetrizers and stable homology of torus links
Matthew Hogancamp
We show that the triply graded Khovanov-Rozansky homology of the torus link stablizes as . We explicitly compute the stable homology (as a ring), which prove…