Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Torsion and Open Book Decompositions   We show that if (B,\pi) is an open book decomposition of a contact 3-manifold
(Y,\xi), then the complement of the binding B has no Giroux torsion. We also
prove the sutured Heegaard-Floer c-bar invariant of the binding of an open book
is non-zero.

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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
36
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: cs
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
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The categories of this paper are: nlin
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci