10 citations · 32 across the 5 of their papers we have counts for
5 papers
A topological approach to induction theorems in Springer theory
David Treumann
We give a self-contained account of a construction due to Rossmann which lifts Springer's action of a Weyl group on the cohomology of a Springer fiber to an action on its homotopy…
Purity and decomposition theorems for staggered sheaves
Pramod N. Achar, David Treumann
Two major results in the theory of l-adic mixed constructible sheaves are the purity theorem (every simple perverse sheaf is pure) and the decomposition theorem (every pure object…
Baric structures on triangulated categories and coherent sheaves
Pramod N. Achar, David Treumann
We introduce the notion of a "baric structure" on a triangulated category, as an abstraction of S. Morel's weight truncation formalism for mixed l-adic sheaves. We study these stru…
Staggered t-structures on toric varieties
David Treumann
Achar has recently introduced a family of t-structures on the derived category of equivariant coherent sheaves on a -scheme, generalizing the perverse coherent t-structures of B…
Stacks similar to the stack of perverse sheaves
David Treumann
We introduce, on a topological space X, a class of stacks of abelian categories we call "stacks of type P." This class of stacks includes the stack of perverse sheaves (of any perv…