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

Francesco Costantino; Jun Murakami

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arXiv · 1005.4277

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

Francesco Costantino·Jun Murakami

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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.

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Francesco Costantino, Jun Murakami. 2011-05-02. On SL(2, C) quantum 6j-symbol and its relation to the hyperbolic volume. https://arxiv.org/abs/1005.4277

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