7 papers · 1 filter
String nets for twisted pivotal categories
Benjamin Haïoun, William Stewart, Filippos Sytilidis
We develop a graphical calculus for monoidal categories equipped with twisted pivotal structures, which are a generalization of pivotal structures originating from the study of ori…
Graded spherical skein 2+1-G-HQFT and modified Turaev-Viro invariants
Francesco Costantino, Nathan Geer, Benjamin Haïoun +1
For G a group, we present a G-graded version of chromatic maps and skein modules and use them to define a 2+1-G-HQFT out of a G-chromatic category. The construction applies to the…
Skein Categories in Non-semisimple Settings
Jennifer Brown, Benjamin Haïoun
We introduce a version of skein categories of surfaces which depends on a tensor ideal in a linear ribbon category, thereby extending the existing theory to the setting of non-semi…
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…
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…
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…