On the quantum -symbols and their relation to the hyperbolic volume
Francesco Costantino
IRMA, Strasbourg, FranceJun Murakami
Waseda University, Tokyo, Japan
![On the $\mathrm{SL}(2,\mathbb C)$ quantum $6j$-symbols and their relation to the hyperbolic volume cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-qt-volume-4-issue-3.png&w=3840&q=90)
Abstract
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 quantum -symbols and their relation to the hyperbolic volume. Quantum Topol. 4 (2013), no. 3, pp. 303–351
DOI 10.4171/QT/41