We generalize the colored Alexander invariant of knots to an invariant of graphs and we construct a face model for this invariant by using the corresponding -symbols, which come from the non-integral representations of the quantum group . We call it the -quantum -symbols, and show their relation to the hyperbolic volume of a truncated tetrahedron.
Cite this article
Francesco Costantino, Jun Murakami, On the SL(2,ℂ) quantum 6<var>j</var>-symbols and their relation to the hyperbolic volume. Quantum Topol. 4 (2013), no. 3, pp. 303–351DOI 10.4171/QT/41