Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dubois' Torsion, A-polynomial and Quantum Invariants   It is shown that for knots with a sufficiently regular character variety the
Dubois' torsion detects the A-polynomial of the knot. A global formula for the
integral of the Dubois torsion is given. The formula looks like the heat kernel
regularization of the formula for the Witten-Reshetikhin-Turaev invariant of
the double of the knot complement. The Dubois' torsion is recognized as the
pushforward of a measure on the character variety of the double of the knot
complement coming from the square root of Reidemeister torsion. This is used to
motivate a conjecture about quantum invariants detecting the A-polynomial.

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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th