On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume
Geometric Topology
2011-05-03 v7 Quantum Algebra
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 6j-symbol, which comes from the non-integral representations of the quantum group U_q(sl_2). We call it the SL(2, C) quantum 6j-symbol, and show its relation to the hyperbolic volume of a truncated tetrahedron.
Keywords
Cite
@article{arxiv.1005.4277,
title = {On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume},
author = {Francesco Costantino and Jun Murakami},
journal= {arXiv preprint arXiv:1005.4277},
year = {2011}
}
Comments
30 pages, typos, argument for the R-matrix is modified, Sections 2 and 3 are exchanged