117 citations · 400 across the 28 of their papers we have counts for
30 papers
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 (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…
Chromatic maps for finite tensor categories
Francesco Costantino, Nathan Geer, Bertrand Patureau-Mirand +1
Chromatic maps for spherical tensor categories are instrumental tools to construct (non semisimple) invariants of 3-manifolds and their extension to (non compact) (2+1)-TQFTs. In t…
Admissible Skein Modules
Francesco Costantino, Nathan Geer, Bertrand Patureau-Mirand
In this paper we introduce the notion of admissible skein modules associated to an ideal in a pivotal category. We explain how these modules are generalizations of the Kauffman ske…
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…
Stated skein modules of 3-manifolds and TQFT
Francesco Costantino, Thang T. Q. Le
We study the behaviour of the Kauffman bracket skein modules of 3-manifolds under gluing along surfaces. For this purpose we extend the notion of Kauffman bracket skein modules to…