Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Hyperbolic Invariants Of 3-Manifolds With PSL(2,C)-Characters   We construct {\it quantum hyperbolic invariants} (QHI) for triples
$(W,L,\rho)$, where $W$ is a compact closed oriented 3-manifold, $\rho$ is a
flat principal bundle over $W$ with structural group $PSL(2,\mc)$, and $L$ is a
non-empty link in $W$. These invariants are based on the Faddeev-Kashaev's {\it
quantum dilogarithms}, interpreted as matrix valued functions of suitably
decorated hyperbolic ideal tetrahedra. They are explicitely computed as state
sums over the decorated hyperbolic ideal tetrahedra of the {\it idealization}
of any fixed {\it $\Dd$-triangulation}; the $\Dd$-triangulations are simplicial
1-cocycle descriptions of $(W,\rho)$ in which the link is realized as a
Hamiltonian subcomplex. We also discuss how to set the Volume Conjecture for
the coloured Jones invariants $J_N(L)$ of hyperbolic knots $L$ in $S^3$ in the
framework of the general QHI theory.

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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph