114 citations · 522 across the 32 of their papers we have counts for
5 papers · 1 filter
Vertex operators and 2-representations of quantum affine algebras
Sabin Cautis, Anthony Licata
We construct 2-representations of quantum affine algebras from 2-representations of quantum Heisenberg algebras. The main tool in this construction are categorical vertex operators…
Loop realizations of quantum affine algebras
Sabin Cautis, Anthony Licata
We give a simplified description of quantum affine algebras in their loop presentation. This description is related to Drinfeld's new realization via halves of vertex operators. We…
Implicit structure in 2-representations of quantum groups
Sabin Cautis, Aaron D. Lauda
Given a strong 2-representation of a Kac-Moody Lie algebra (in the sense of Rouquier) we show how to extend it to a 2-representation of categorified quantum groups (in the sense of…
Flops and about: a guide
Sabin Cautis
Stratified flops show up in the birational geometry of symplectic varieties such as resolutions of nilpotent orbits and moduli spaces of sheaves. Constructing derived equivalences…
Coherent Sheaves on Quiver Varieties and Categorification
Sabin Cautis, Joel Kamnitzer, Anthony Licata
We construct geometric categorical Lie algebra actions on the derived category of coherent sheaves on Nakajima quiver varieties. These actions categorify Nakajima's construction of…