117 citations · 499 across the 33 of their papers we have counts for
41 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…
Density and unitarity of the Burau representation from a non-semisimple TQFT
Nathan Geer, Aaron D. Lauda, Bertrand Patureau-Mirand +1
We study the density of the Burau representation from the perspective of a non-semisimple TQFT at a fourth root of unity. This gives a TQFT construction of Squier's Hermitian form…
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…
Modified symmetrized integral in -coalgebras
Nathan Geer, Ngoc-Phu Ha, Bertrand Patureau-Mirand
For a commutative group, we give a purely Hopf -coalgebra construction of -colored -manifolds invariants using the notion of modified integral.