117 citations · 400 across the 28 of their papers we have counts for
4 papers · 1 filter
Some remarks on the unrolled quantum group of sl(2)
Francesco Costantino, Nathan Geer, Bertrand Patureau-Mirand
In this paper we consider the representation theory of a non-standard quantization of sl(2). This paper contains several results which have applications in quantum topology, includ…
Non semi-simple sl(2) quantum invariants, spin case
Christian Blanchet, Francesco Costantino, Nathan Geer +1
Invariants of 3-manifolds from a non semi-simple category of modules over a version of quantum sl(2) were obtained by the last three authors in [arXiv:1404.7289]. In their construc…
Non semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants
Christian Blanchet, Francesco Costantino, Nathan Geer +1
We construct and study a new family of TQFTs based on nilpotent highest weight representations of quantum sl(2) at a root of unity indexed by generic complex numbers. This extends…
On the volume conjecture for polyhedra
Francesco Costantino, François Guéritaud, Roland van der Veen
We formulate a generalization of the volume conjecture for planar graphs. Denoting by <G, c> the Kauffman bracket of the graph G whose edges are decorated by real "colors" c, the c…