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math.CT2026
Gabi-Monads
Sebastian Halbig, Paolo Saracco, Tony Zorman
The paper develops the theory of gabi‑monads on skew‑closed categories, providing a reconstruction theorem that relates these monads to skew‑closed structures on their Eilenberg–Mo…
math.CT2026
Duality in Monoidal Categories
Sebastian Halbig, Tony Zorman
We compare closed and rigid monoidal categories. Closedness is defined by the tensor product having a right adjoint: the internal hom functor. Rigidity, on the other hand, generali…
math.CT2024
Diagrammatics for Comodule Monads
Sebastian Halbig, Tony Zorman
We extend Willerton's graphical calculus for bimonads to comodule monads, a monadic interpretation of module categories over a monoidal category. As an application, we prove a vers…