Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Commensurability classes of twist knots   In this paper we prove that if $M_K$ is the complement of a non-fibered twist
knot $K$ in $\mathbb S^3$, then $M_K$ is not commensurable to a fibered knot
complement in a $\mathbb Z/ 2 \mathbb Z$-homology sphere. To prove this result
we derive a recursive description of the character variety of twist knots and
then prove that a commensurability criterion developed by D. Calegari and N.
Dunfield is satisfied for these varieties. In addition, we partially extend our
results to a second infinite family of 2-bridge knots.

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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn