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math.QA2026
The many faces of higher Hilbert spaces
Giovanni Ferrer, Lukas Müller, David Penneys +1
Finite-dimensional operator algebras can be viewed as , , or -algebras, leading to different notions for their categories of modules and c…
math.QA2025
Categorified Open Topological Field Theories
Lukas Müller, Lukas Woike
In this short note, we classify linear categorified open topological field theories in dimension two by pivotal Grothendieck-Verdier categories, a type of monoidal category equippe…
math.QA2024
Admissible Skein Modules and Ansular Functors: A Comparison
Lukas Müller, Lukas Woike
Given a finite ribbon category, which is a particular case of a cyclic algebra over the operad of genus zero surfaces, there are two possibilities for an extension defined on all t…