Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On hyperbolic knots in S^3 with exceptional surgeries at maximal
  distance   Baker showed that 10 of the 12 classes of Berge knots are obtained by surgery
on the minimally twisted 5-chain link. In this article we enumerate all
hyperbolic knots in S^3 obtained by surgery on the minimally twisted 5 chain
link that realize the maximal known distances between slopes corresponding to
exceptional (lens, lens), (lens, toroidal), (lens, Seifert fibred spaces)
pairs. In light of Baker's work, the classification in this paper conjecturally
accounts for 'most' hyperbolic knots in S^3 realizing the maximal distance
between these exceptional pairs. All examples obtained in our classification
are realized by filling the magic manifold. The classification highlights
additional examples not mentioned in Martelli and Petronio's survey of the
exceptional fillings on the magic manifold. Of particular interest, is an
example of a knot with two lens space surgeries that is not obtained by filling
the Berge manifold.

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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci