A note on quantum 3-manifold invariants and hyperbolic volume

Details A note on quantum 3-manifold invariants and hyperbolic volume A note on quantum 3-manifold invariants and hyperbolic volume

2007-09-29

arxiv.org/abs/0710.0076v2

Mathematics

Geometric Topology

8 pages, 1 figure: Added "Concluding Remarks" and additional references. Final version; to appear in the Journal of Knot Theor

Scientific paper

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.

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