29 citations · 110 across the 27 of their papers we have counts for
4 papers · 1 filter
Cyclic framed little disks algebras, Grothendieck-Verdier duality and handlebody group representations
Lukas Müller, Lukas Woike
We characterize cyclic algebras over the associative and the framed little 2-disks operad in any symmetric monoidal bicategory. The cyclicity is appropriately treated in a coherent…
Homotopy Coherent Mapping Class Group Actions and Excision for Hochschild Complexes of Modular Categories
Christoph Schweigert, Lukas Woike
Given any modular category over an algebraically closed field , we extract a sequence of -bimodules. We show that the Hochschild cha…
Dimensional Reduction, Extended Topological Field Theories and Orbifoldization
Lukas Müller, Lukas Woike
We prove a decomposition formula for the dimensional reduction of an extended topological field theory that arises as an orbifold of an equivariant topological field theory. Our de…
Categorification of algebraic quantum field theories
Marco Benini, Marco Perin, Alexander Schenkel +1
This paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign locally presentable linear categories to spacetimes. It is proven that ordinary…