117 citations · 626 across the 43 of their papers we have counts for
52 papers
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…
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…
Renormalized Reshetikhin-Turaev invariants for the unrolled quantum group of
Nathan Geer, Adam Robertson, Jan-Luca Spellmann +1
This paper is a self-contained introduction to the theory of renormalized Reshetikhin-Turaev invariants of links defined by Geer, Patureau-Mirand and Turaev. Whereas the standard R…
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…