114 citations · 522 across the 32 of their papers we have counts for
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Remarks on coloured triply graded link invariants
Sabin Cautis
We explain how existing results (such as categorical sl(n) actions, associated braid group actions and infinite twists) can be used to define a triply graded link invariant which c…
Exotic t-structures and actions of quantum affine algebras
Sabin Cautis, Clemens Koppensteiner
We explain how quantum affine algebra actions can be used to systematically construct "exotic" t-structures. The main idea, roughly speaking, is to take advantage of the two differ…
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…
The Elliptic Hall algebra and the deformed Khovanov Heisenberg category
Sabin Cautis, Aaron D. Lauda, Anthony Licata +2
We give an explicit description of the trace, or Hochschild homology, of the quantum Heisenberg category defined by Licata and Savage. We also show that as an algebra, it is isomor…
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.…