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math.CT2026
Gabi-Monads
Sebastian Halbig, Paolo Saracco, Tony Zorman
We study gabi-monads on skew-closed categories, extending the gabi-algebras of Berger, the second author, and Vercruysse beyond the linear case. Our main reconstruction theorem ide…
math.CT2023★ 1 cited
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…
math.CT2023
Categorical centers and Yetter--Drinfel`d-modules as 2-categorical (bi)lax structures
Bojana Femić, Sebastian Halbig
The bicategorical point of view provides a natural setting for many concepts in the representation theory of monoidal categories. We show that centers of twisted bimodule categorie…