Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended Bloch group and the Chern-Simons class (Incomplete working
  version)   We define an extended Bloch group and show it is isomorphic to
$H_3(PSL(2,C)^\delta;Z)$. Using the Rogers dilogarithm function this leads to
an exact simplicial formula for the universal Cheeger-Simons class on this
homology group. It also leads to an independent proof of the analytic
relationship between volume and Chern-Simons invariant of hyperbolic manifolds
conjectured in \cite{neumann-zagier} and proved in \cite{yoshida}, as well as
an effective formula for the Chern-Simons invariant of a hyperbolic manifold.

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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
9
The categories of this paper are: nlin
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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: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph