Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contact Homology of Orbit Complements and Implied Existence   For Reeb vector fields on closed 3-manifolds, cylindrical contact homology is
used to show that the existence of a set of closed Reeb orbit with certain
knotting/linking properties implies the existence of other Reeb orbits with
other knotting/linking properties relative to the original set. We work out a
few examples on the 3-sphere to illustrate the theory, and describe an
application to closed geodesics on $S^2$ (a version of a result due to
Angenent).

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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: q-fin
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex