On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume

Details On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume

2010-05-24

arxiv.org/abs/1005.4277v7

Mathematics

Geometric Topology

30 pages, typos, argument for the R-matrix is modified, Sections 2 and 3 are exchanged

Scientific paper

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.

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