Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contact (+1)-surgeries along Legendrian Two-component Links   In this paper, we study contact surgeries along Legendrian links in the
standard contact 3-sphere. On one hand, we use algebraic methods to prove the
vanishing of the contact Ozsv\'{a}th-Szab\'{o} invariant for contact
$(+1)$-surgery along certain Legendrian two-component links. The main tool is a
link surgery formula for Heegaard Floer homology developed by Manolescu and
Ozsv\'{a}th. On the other hand, we use contact-geometric argument to show the
overtwistedness of the contact 3-manifolds obtained by contact $(+1)$-surgeries
along Legendrian two-component links whose two components are linked in some
special configurations.

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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph