Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orderable Contact Structures on Liouville-fillable Contact Manifolds   We study the existence of positive loops of contactomorphisms on a
Liouville-fillable contact manifold $(\Sigma,\xi=\ker(\alpha))$. Previous
results show that a large class of Liouville-fillable contact manifolds admit
contractible positive loops. In contrast, we show that for any
Liouville-fillable $(\Sigma,\alpha)$ with $\dim(\Sigma) \geq 7$, there exists a
Liouville-fillable contact structure $\xi'$ on $\Sigma$ which admits no
positive loop at all. Further, $\xi'$ can be chosen to agree with $\xi$ on the
complement of a Darboux ball.

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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg