29 citations · 110 across the 27 of their papers we have counts for
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A Classification of Modular Functors via Factorization Homology
Adrien Brochier, Lukas Woike
Modular functors are traditionally defined as systems of projective representations of mapping class groups of surfaces that are compatible with gluing. They can formally be descri…
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…
Homotopy Invariants of Braided Commutative Algebras and the Deligne Conjecture for Finite Tensor Categories
Christoph Schweigert, Lukas Woike
It is easy to find algebras in a finite tensor category that naturally come with a lift to a braided commutative algebra $\mathsf{T}\in Z(\…
Classification of Consistent Systems of Handlebody Group Representations
Lukas Müller, Lukas Woike
The classifying spaces of handlebody groups form a modular operad. Algebras over the handlebody operad yield systems of representations of handlebody groups that are compatible wit…
The Diffeomorphism Group of the Solid Closed Torus and Hochschild Homology
Lukas Müller, Lukas Woike
We prove that for a self-injective ribbon Grothendieck-Verdier category in the sense of Boyarchenko-Drinfeld the cyclic action on the Hochschild complex of $\mathcal{…