9 citations · 9 across the 8 of their papers we have counts for
8 papers
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…
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…
Defining extended TQFTs via handle attachments
Benjamin Haïoun
We give a finite presentation of the cobordism symmetric monoidal bicategory of (smooth, oriented) closed manifolds, cobordisms and cobordisms with corners as an extension of the b…
Unit inclusion in a non-semisimple braided tensor category and non-compact relative TQFTs
Benjamin Haïoun
The inclusion of the unit in a braided tensor category induces a 1-morphism in the Morita 4-category of braided tensor categories . We give criteria for the d…
Relating stated skein algebras and internal skein algebras
Benjamin Haïoun
We give an explicit correspondence between stated skein algebras, which are defined via explicit relations on stated tangles in [Costantino F., Lê T.T.Q., arXiv:1907.11400], and in…