40 citations · 104 across the 17 of their papers we have counts for
14 papers · 1 filter
Volume Conjecture and quantum hyperbolic invariants: the figure eight knot complement
Stephane Baseilhac, Fathi Ben Aribi
We compute the real part of the semi-classical limit of the sequence of quantum hyperbolic invariants (QHI) of the figure-eight knot complement . We show that it is rigid, in th…
On the quantum Teichmüller invariants of fibred cusped 3-manifolds
Baseilhac Stephane, Benedetti Riccardo
We show that the reduced quantum hyperbolic invariants of pseudo-Anosov diffeomorphisms of punctured surfaces are intertwiners of local representations of the quantum Teichmüller s…
Non ambiguous structures on 3-manifolds and quantum symmetry defects
Stéphane Baseilhac, Riccardo Benedetti
The state sums defining the quantum hyperbolic invariants (QHI) of hyperbolic oriented cusped -manifolds can be split in a "symmetrization" factor and a "reduced" state sum. We…
Analytic families of quantum hyperbolic invariants
Stephane Baseilhac, Riccardo Benedetti
We organize the quantum hyperbolic invariants (QHI) of -manifolds into sequences of rational functions indexed by the odd integers and defined on moduli spaces of geom…
Quantum coadjoint action and the -symbols of
Stéphane Baseilhac
We review the representation theory of the quantum group at a root of unity of odd order, focusing on geometric aspects related to the 3-dimensional quantum…
The Kashaev and quantum hyperbolic link invariants
Stephane Baseilhac, Riccardo Benedetti
We show that the link invariants derived from 3-dimensional quantum hyperbolic geometry can be defined by means of planar state sums based on link diagrams and a new family of enha…