114 citations · 500 across the 43 of their papers we have counts for
14 papers · 1 filter
The moduli space of cactus flower curves and the virtual cactus group
Aleksei Ilin, Joel Kamnitzer, Yu Li +2
The space $ \ft_n = \C^n/\C $ of points on the line modulo translation has a natural compactification $ \overline \ft_n $ as a matroid Schubert variety. In this space, pairwise…
The quantum Hikita conjecture
Joel Kamnitzer, Michael McBreen, Nicholas Proudfoot
The Hikita conjecture relates the coordinate ring of a conical symplectic singularity to the cohomology ring of a symplectic resolution of the dual conical symplectic singularity.…
Categorical geometric symmetric Howe duality
Sabin Cautis, Joel Kamnitzer
We provide a natural geometric setting for symmetric Howe duality. This is realized as a (loop) sl(n) action on derived categories of coherent sheaves on certain varieties arising…
Associated graded of Hodge modules and categorical sl_2 actions
Sabin Cautis, Christopher Dodd, Joel Kamnitzer
One of the most mysterious aspects of Saito's theory of Hodge modules are the Hodge and weight filtrations that accompany the pushforward of a Hodge module under an open embedding.…
Knot homology via derived categories of coherent sheaves IV, coloured links
Sabin Cautis, Joel Kamnitzer
We define a deformation of our earlier link homologies for fundamental representations of sl_m. The deformed homology of a link is isomorphic to the deformed homology of the disjoi…
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…