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math.QA2026★ 1 cited
The Dehn Twist Action for Quantum Representations of Mapping Class Groups
Lukas Müller, Lukas Woike
We calculate the Dehn twist action on the spaces of conformal blocks of a not necessarily semisimple modular category. In particular, we give the order of the Dehn twists under the…
math.QA2025
Orbifold completion of 3-categories
Nils Carqueville, Lukas Müller
We develop a general theory of 3-dimensional ``orbifold completion'', to describe (generalised) orbifolds of topological quantum field theories as well as all their defects. Given…
math.QA2024
The distinguished invertible object as ribbon dualizing object in the Drinfeld center
Lukas Müller, Lukas Woike
We prove that the Drinfeld center of a pivotal finite tensor category comes with the structure of a ribbon Grothendieck-Verdier category in the sense…