Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cylindrical contact homology and topological entropy   We establish a relation between the growth of the cylindrical contact
homology of a contact manifold and the topological entropy of Reeb flows on
this manifold. We show that if a contact manifold $(M,\xi)$ admits a hypertight
contact form $\lambda_0$ for which the cylindrical contact homology has
exponential homotopical growth rate, then the Reeb flow of every contact form
on $(M,\xi)$ has positive topological entropy. Using this result, we provide
numerous new examples of contact 3-manifolds on which every Reeb flow has
positive topological entropy.

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The categories of this paper are: q-alg
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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: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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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: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: atom-ph