40 citations · 104 across the 17 of their papers we have counts for
18 papers
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 structure and representations of quantum graph algebras at roots of unity
Stéphane Baseilhac, Matthieu Faitg, Philippe Roche
We study the specializations at roots of unity of odd order of the graph algebras, associated to a simply-connected complex semi-simple algebraic group $G…
Noetherian and affine properties of quantum moduli and -skein algebras
Stéphane Baseilhac, Matthieu Faitg, Philippe Roche
We prove that the quantum moduli algebra associated to a possibly punctured compact oriented surface and a complex semisimple Lie algebra is a Noetherian and finitel…
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1
Stéphane Baseilhac, Philippe Roche
We prove that the quantum graph algebra and the quantum moduli algebra associated to a punctured sphere and complex semisimple Lie algebra are Noetherian rings and f…
Unrestricted Quantum Moduli Algebras. I. The Case of Punctured Spheres
Stéphane Baseilhac, Philippe Roche
Let be a finite type surface, and a complex algebraic simple Lie group with Lie algebra . The quantum moduli algebra of is a quantization of the ring…
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…