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math.QA2025
Invariants of 4-Dimensional 2-Handlebodies from the Temperley-Lieb Category in Positive Characteristic
Thibault D. Décoppet, Benjamin Haïoun
We investigate invariants of 4-dimensional 2-handlebodies associated to the Temperley-Lieb category in characteristic and at a primitive fourth root of unity. These invariant…
math.QA2025
Higher tensor categories and their extensions: notes from the Scottish Talbot On Algebra and Topology
Diogo Andrade, Julia Bierent, Jennifer Brown +28
These lecture notes are the product of a week-long learning workshop on the work of Johnson-Freyd and Reutter on the problem of the existence of minimal nondegenerate extensions of…
math.QA2025
Non-semisimple WRT at the boundary of Crane-Yetter
Benjamin Haïoun
We prove the slogan, promoted by Walker and Freed-Teleman twenty years ago, that "The Witten-Reshetikhin-Turaev 3-TQFT is a boundary condition for the Crane-Yetter 4-TQFT" and gene…