S. Baseilhac, R. Benedetti, C.D. Frohman, Some asymptotics of quantum hyperbolic invariants. In this work we show that the semi-classical limit of the quantum hyperbolic invariants of cusped hyperbolic manifolds is "rigid", in the sense that it depends only on some (determined) topological datas on the manifolds.

S. Baseilhac, P. Roche, Unrestricted quantum moduli algebras, II: indecomposable representations over G-characters

S. Baseilhac, M. Faitg, P. Roche, Unrestricted quantum moduli algebras, III: arbitrary finite type surfaces,

Preprint

S. Baseilhac, P. Roche, Unrestricted quantum moduli algebras, I: the case of punctured spheres, arXiv:1912.02440


Publications

S. Baseilhac, R. Benedetti, On the quantum Teichmuller invariants of fibred cusped 3-manifolds, Geom. Dedicata 197(1) (2018) 1-32, DOI 10.1007/s10711-017-0315-0

S. Baseilhac, R. Benedetti, Non ambiguous structures on 3-manifolds and quantum symmetry defects, Quantum Topol. 8-4 (2017) 749-846, DOI: 10.4171/QT/101

S. Baseilhac, R. Benedetti, Analytic families of quantum hyperbolic invariants, Alg. Geom. Topol. 15-4 (2015) 1983-2063, DOI 10.2140/agt.2015.15.1983

S. Baseilhac, R. Benedetti, The Kashaev and quantum hyperbolic link invariants, J. Gökova Geom. Topol. 5 (2011) 31-85

S. Baseilhac, Quantum coadjoint action and the 6j-symbols of Uq sl(2), in "Interactions between Hyperbolic Geometry, Quantum Topology and Number Theory", AMS Cont. Math. Proc. Ser. 541 (2011) 103-144

S. Baseilhac, R. Benedetti, Quantum hyperbolic geometry, Alg. Geom. Topol. 7 (2007) 845-917

S. Baseilhac, R. Benedetti, Classical and quantum dilogarithmic invariants of flat PSL(2,C)-bundles over 3-manifolds, Geom. Topol. 9 (2005) 493-569

S. Baseilhac, R. Benedetti, Quantum hyperbolic invariants of 3-manifolds with PSL(2,C)-characters, Topology 43 (6) (2004) 1373-1423

S. Baseilhac, R. Benedetti, QHI, 3-manifold scissors congruence classes and the volume conjecture, in "Invariants of knots and 3-manifolds (Kyoto 2001)", T. Ohtsuki et al., Geom. Topol. Monogr. 4 (2002) 13-28


Notes

S. Baseilhac, Chern-Simons theory in dimension three (59 pp), lecture notes, University of Pisa (2009)

S. Baseilhac, Les théories quantiques des champs hyperboliques (32 pp), mémoire de HdR, Institut Fourier, Grenoble (2007)

S. Baseilhac, Introduction aux espaces de Teichmuller (15 pp), cours de Master II (20h), Institut Fourier, Grenoble (2005/2006)

S. Baseilhac, Dilogarithme quantique et invariants des variétés de dimension trois (126 pp), PhD thesis, Université Toulouse III (2001)

T. Tom Dieck, Quantum algebra and cylinder topology (31 pp), notes of lectures given at the spring school "Equations aux dérivées partielles de la physique et géométrie", Nantes (1998) (Ask for the figures !)

S. Baseilhac, Quantum invariants and surfaces in 3-manifolds: remarks on a theorem of Kirby and Melvin (73 pp), Mémoire de Master II, Université Toulouse III (1997)