Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A good presentation of (-2,3,2s+1)-type Pretzel knot group and R-covered
  foliation   Let K_s be a (-2,3,2s+1)-type Pretzel knot (s >= 3) and E(K_s)(p/q) be a
closed manifold obtained by Dehn surgery along K_s with a slope p/q. We prove
that if q>0, p/q >= 4s+7 and p is odd, then E(K_s)(p/q) cannot contain an
R-covered foliation. This result is an extended theorem of a part of works of
Jinha Jun for (-2,3,7)-Pretzel knot.

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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio