6 citations · 11 across the 5 of their papers we have counts for
8 papers
The Heisenberg category of a category
Ádám Gyenge, Clemens Koppensteiner, Timothy Logvinenko
Starting with a k-linear or DG category admitting a (homotopy) Serre functor, we construct a k-linear or DG 2-category categorifying the Heisenberg algebra of the numerical K-group…
Traces, Schubert calculus, and Hochschild cohomology of category
Clemens Koppensteiner
We discuss how the Hochschild cohomology of a dg category can be computed as the trace of its Serre functor. Applying this approach to the principal block of the Bernstein--Gelfand…
Graded topological spaces
Clemens Koppensteiner
We introduce the notion of a "graded topological space": a topological space endowed with a sheaf of abelian groups which we think of as a sheaf of gradings. Any object living on a…
The de Rham functor for logarithmic D-modules
Clemens Koppensteiner
In the first part we deepen the six-functor theory of (holonomic) logarithmic D-modules, in particular with respect to duality and pushforward along projective morphisms. Then, ins…
Holonomic and perverse logarithmic D-modules
Clemens Koppensteiner, Mattia Talpo
We introduce the notion of a holonomic D-module on a smooth (idealized) logarithmic scheme and show that Verdier duality can be extended to this context. In contrast to the classic…
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…
Hochschild cohomology of torus-equivariant D-modules
Clemens Koppensteiner
We discuss the Hochschild cohomology of the category of D-modules associated to an algebraic stack. In particular we describe the Hochschild cohomology of the category of torus-equ…
Exact functors on perverse coherent sheaves
Clemens Koppensteiner
Inspired by symplectic geometry and a microlocal characterizations of perverse (constructible) sheaves we consider an alternative definition of perverse coherent sheaves. We show t…