QHI Theory, II: Dilogarithmic and Quantum Hyperbolic Invariants of 3-Manifolds with PSL(2,C)-Characters
| dc.creator | Baseilhac, Stephane | |
| dc.creator | Benedetti, Riccardo | |
| dc.date | 2002-11-04 | |
| dc.date | 2002-12-17 | |
| dc.date.accessioned | 2026-07-07T04:52:38Z | |
| dc.date.available | 2026-07-07T04:52:38Z | |
| dc.description | We give parallel constructions of an invariant R(W,f), based on the classical Rogers dilogarithm, and of quantum hyperbolic invariants (QHI), based on the Faddeev-Kashaev quantum dilogarithms, for flat PSL(2,C)-bundles f over closed oriented 3-manifolds W. All these invariants are explicitely computed as a sum or state sums over the same hyperbolic ideal tetrahedra of the idealization of any fixed simplicial 1-cocycle description of (W,f) of a special kind, called a D-triangulation. R(W,f) recovers the volume and the Chern-Simons invariant of f, and we conjecture that it determines the semi-classical limit of the QHI. | |
| dc.description | 23 pages, 2 figures. The way we refer to W.Neumann's earlier works is modified. The rest of the paper is unchanged | |
| dc.identifier | https://arxiv.org/abs/math/0211061 | |
| dc.identifier | http://arxiv.org/abs/math/0211061 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65538 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57M27, 57Q15, 57R20, 20G42 | |
| dc.title | QHI Theory, II: Dilogarithmic and Quantum Hyperbolic Invariants of 3-Manifolds with PSL(2,C)-Characters | |
| dc.type | text |