Braided categories of bimodules from stated skein TQFTs
Year: 2026
Type: article
Abstract: For each braided category \mathcal{C} , we show that, under mild hypotheses, there is an associated category of “half braided algebras” and their bimodules internal to \mathcal{C} which is not only monoidal but even braided and balanced. We use this in the case where \mathcal{C} is the category of modules over a ribbon Hopf algebra to interpret stated skeins as a TQFT, namely, a braided balanced functor from a category of cobordisms to this category of algebras and their bimodules. Although our construction works in full generality, we relate in the special case of finite-dimensional ribbon factorizable Hopf algebras the stated skein functor to the Kerler–Lyubashenko TQFT by interpreting the former as the “endomorphisms” of the latter.
Source: Quantum Topology
DOI: 10.4171/qt/255
Authors: Francesco Costantino, Matthieu Faitg
Institution: Université de Toulouse
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416453565
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