Geometry & Topology 11 (2007) 1831–1854

DOI: 10.2140/gt.2007.11.1831

arXiv: math.GT/0611399

Abstract

We compute the asymptotical growth rate of a large family of U_q(sl₂) 6j–symbols and we interpret our results in geometric terms by relating them to volumes of hyperbolic truncated tetrahedra. We address a question which is strictly related with S Gukov's generalized volume conjecture and deals with the case of hyperbolic links in connected sums of S²×S¹. We answer this question for the infinite family of fundamental shadow links.

Corrections

The paper was republished with corrections on 19 October 2007.

Keywords

Jones polynomial, volume conjecture, hyperbolic volume, 6j–symbol, quantum invariant

Mathematical Subject Classification

Primary: 57M27

Secondary: 57M50

References

Forward citations

Publication

Received: 15 January 2007
Revised: 24 August 2007
Accepted: 25 July 2007
Published: 24 September 2007
Proposed: Walter Neumann
Seconded: Joan Birman, Cameron Gordon

Authors