50 citations · 276 across the 16 of their papers we have counts for
19 papers
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…
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…
Reshetikhin-Turaev TQFTs close under generalised orbifolds
Nils Carqueville, Vincentas Mulevicius, Ingo Runkel +2
We specialise the construction of orbifold graph TQFTs introduced in Carqueville et al., arXiv:2101.02482 to Reshetikhin-Turaev defect TQFTs. We explain that the modular fusion cat…
Orbifold graph TQFTs
Nils Carqueville, Vincentas Mulevicius, Ingo Runkel +2
A generalised orbifold of a defect TQFT is another TQFT obtained by performing a state sum construction internal to . As an i…
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…