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math.QA2026
Weyl defects in skein theory and quantum cluster charts
Jennifer Brown, Juan Ramón Gómez García, David Jordan +1
We prove a modified invertibility property for the parabolic defects introduced in arXiv:2102.12283, arXiv:2505.14836. Namely, we show that the Borel defect cancels its dual, up to…
math.QA2025
The skein partition function of the mapping torus
Julia Bierent, David Jordan, Matthias Vancraeynest +1
We compute the dimensions of -skein modules of genus-one mapping tori , for an arbitrary diffeomorphism of , and for generic quantum parameter. Th…
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…