9 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…
Skein (3+1)-TQFTs from Non-Semisimple Ribbon Categories
Francesco Costantino, Nathan Geer, Benjamin Haïoun +1
We define a (3+1)-TQFT associated with possibly non-semisimple finite unimodular ribbon tensor categories using skein theory. This gives an explicit realization of a TQFT predicted…
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…
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…
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…