42 citations · 175 across the 18 of their papers we have counts for
19 papers
Type Webs
Elijah Bodish, Ben Elias, David E. V. Rose
We solve the type case of the main open problem from Kuperberg's 1996 paper "Spiders for rank 2 Lie algebras." That is, we define a -linear pivotal category $\ma…
Spin Link Homology
Elijah Bodish, Ben Elias, David E. V. Rose
We put a new spin on Khovanov--Rozansky homology. That is, we equip -colored Khovanov--Rozansky homology with an involution whose -eigenspaces are…
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…
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…
Categorification of the internal braid group action for quantum groups I: 2-functoriality
Michael T. Abram, Laffite Lamberto-Egan, Aaron D. Lauda +1
We define 2-functors on the categorified quantum group of a simply-laced Kac-Moody algebra that induce Lusztig's internal braid group action at the level of the Grothendieck group.
Decreasing subsequences and Viennot for oscillating tableaux
Elijah Bodish, Ben Elias, David E. V. Rose +1
We establish an extension of Viennot's geometric (shadow line) construction to the setting of oscillating tableaux. We then use this to give a new proof of the Type analogue of…