114 citations · 500 across the 43 of their papers we have counts for
3 papers · 1 filter
Affine Mirković-Vilonen polytopes
Pierre Baumann, Joel Kamnitzer, Peter Tingley
Each integrable lowest weight representation of a symmetrizable Kac-Moody Lie algebra g has a crystal in the sense of Kashiwara, which describes its combinatorial properties. For a…
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…
Buildings, spiders, and geometric Satake
Bruce Fontaine, Joel Kamnitzer, Greg Kuperberg
Let G be a simple algebraic group. Labelled trivalent graphs called webs can be used to product invariants in tensor products of minuscule representations. For each web, we constru…