383 citations · 4.2k across the 131 of their papers we have counts for
14 papers · 1 filter
Grothendieck-Verdier module categories, Frobenius algebras and relative Serre functors
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert +1
We develop the theory of module categories over a Grothendieck-Verdier category, i.e. a monoidal category with a dualizing object and hence a duality structure more general than ri…
Grothendieck-Verdier duality in categories of bimodules and weak module functors
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert +1
Various monoidal categories, including suitable representation categories of vertex operator algebras, admit natural Grothendieck-Verdier duality structures. We recall that such a…
Internal natural transformations and Frobenius algebras in the Drinfeld center
Jürgen Fuchs, Christoph Schweigert
For M and N finite module categories over a finite tensor category C, the category Rex_C(M,N) of right exact module functors is a finite module category over the Drinfeld center Z(…
Module Eilenberg-Watts calculus
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert
The categorical formulation of the Eilenberg-Watts calculus relates, for any pair of finite categories M and N, the finite categories Fun^{le}(N,M) and Fun^{re}(N,M) of linear left…
A Parallel Section Functor for 2-Vector Bundles
Christoph Schweigert, Lukas Woike
We associate to a 2-vector bundle over an essentially finite groupoid a 2-vector space of parallel sections, or, in representation theoretic terms, of higher invariants, which can…
A trace for bimodule categories
Jurgen Fuchs, Gregor Schaumann, Christoph Schweigert
We study a 2-functor that assigns to a bimodule category over a finite k-linear tensor category a k-linear abelian category. This 2-functor can be regarded as a category-valued tra…