114 citations · 522 across the 32 of their papers we have counts for
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Abelian Hall categories
Sabin Cautis
To a quiver we associate a finite length monoidal abelian category which categorifies the corresponding preprojective K-theoretic Hall algebra of Varagnolo-Vasserot. The simples in…
Canonical bases for Coulomb branches of 4d gauge theories
Sabin Cautis, Harold Williams
We construct and study a nonstandard t-structure on the derived category of equivariant coherent sheaves on the Braverman-Finkelberg-Nakajima space of triples ,…
Tamely presented morphisms and coherent pullback
Sabin Cautis, Harold Williams
We study two classes of morphisms in infinite type: tamely presented morphisms and morphisms with coherent pullback. These are generalizations of finitely presented morphisms and m…
Ind-geometric stacks
Sabin Cautis, Harold Williams
We develop the theory of ind-geometric stacks, in particular their coherent and ind-coherent sheaf theory. This provides a convenient framework for working with equivariant sheaves…
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.…