A note on quantum 3-manifold invariants and hyperbolic volume
Geometric Topology
2007-10-10 v2 Quantum Algebra
Abstract
We investigate the conjectural relations between the Reshetikhin-Turaev-Witten quantum SU(2) invariants and the volume of hyperbolic 3-manifolds. Given a finite set of sufficiently large positive integers, say J, we construct examples of closed hyperbolic 3-manifolds with the same invariants at all levels in J and different volume.
Cite
@article{arxiv.0710.0076,
title = {A note on quantum 3-manifold invariants and hyperbolic volume},
author = {Efstratia Kalfagianni},
journal= {arXiv preprint arXiv:0710.0076},
year = {2007}
}
Comments
8 pages, 1 figure: Added "Concluding Remarks" and additional references. Final version; to appear in the Journal of Knot Theory and its Ramifications