Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The W-polynomial and the Mahler Measure of the Kauffman Bracket   The W-polynomial is applied in two ways to questions involving the Kauffman
bracket of some families of links. First we find a geometric property of a link
diagram, which is less than or equal to the twist number, that bounds the
Mahler measure of the Kauffman bracket. Second we find a general form for the
Kauffman bracket of a link found by surgering in a single rational tangle along
n unlinked components, all in a particular annulus. We then give a condition
under which the Mahler measure of the Kauffman bracket of such families
diverges. We give examples of the condition in action.

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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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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: econ