4 papers
Fusion Quivers
Gregor Schaumann
We develop a categorical approach to quivers and their modules. Naturally this leads to a notion of an action of a monoidal category on quivers. Using this, we construct for a larg…
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…
Gray categories with duals and their diagrams
John W. Barrett, Catherine Meusburger, Gregor Schaumann
The geometric and algebraic properties of Gray categories with duals are investigated by means of a diagrammatic calculus. The diagrams are three-dimensional stratifications of a c…
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…