6j–symbols, hyperbolic structures and the volume conjecture

By Francesco Costantino. 2006

48 citations recorded by the source corpus.

We compute the asymptotical growth rate of a large family of $U_q(sl_2)$ $6j$-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 $S^2\times S^1$. We answer this question for the infinite family of fundamental shadow links.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b216413f2bd18b7ccd731eb2c65ae7fffe2baf53

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Nathan Geer
2. Bertrand Patureau-Mirand
3. Francesco Costantino
4. Jonathan R. Kujawa

In Mathematical Physics

1. Nathan Geer
2. Bertrand Patureau-Mirand
3. Francesco Costantino

Citations in the corpus

• Quantum invariants of 3‐manifolds via link surgery presentations and non‐semi‐simple categories (2012, methodology): “This was not possible using the approach of [6] where the fact that the ambient manifold was a connected sum of S(1) × S(2) or a sphere was used in an essential way.”