Quantum hyperbolic invariants of 3-manifolds with PSL(2,C)-characters
Baseilhac, Stéphane ; Benedetti, Riccardo
HAL, hal-00334358 / Harvested from HAL
Text on HAL
A new family of complex valued invariants is defined for closed oriented 3-manifolds, with an embedded link and a flat principal PSL(2,C)-bundle. These invariants are computed as state sums based on quantum dilogarithms, interpreted as matrix-valued functions of suitably decorated hyperbolic ideal tetrahedra.
Publié le : 2004-09-05
Classification:  Quantum dilogarithms,  PSL(2,  C)-characters,  Hyperbolic 3-manifolds,  State sum invariants,  volume conjecture,  MSC : 57M27,57Q15,  [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT],  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00334358,
     author = {Baseilhac, St\'ephane and Benedetti, Riccardo},
     title = {Quantum hyperbolic invariants of 3-manifolds with PSL(2,C)-characters},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00334358}
}

Baseilhac, Stéphane; Benedetti, Riccardo. Quantum hyperbolic invariants of 3-manifolds with PSL(2,C)-characters. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00334358/