3 papers
math.GT2026
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…
math.QA2026
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…
math.QA2024
Non compact (2+1)-TQFTs from non-semisimple spherical categories
Francesco Costantino, Nathan Geer, Bertrand Patureau-Mirand +1
This paper contains three related groupings of results. First, we consider a new notion of an admissible skein module of a surface associated to an ideal in a (non-semisimple) pivo…