Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing Reeb dynamics on 4d convex polytopes   We study the combinatorial Reeb flow on the boundary of a four-dimensional
convex polytope. We establish a correspondence between "combinatorial Reeb
orbits" for a polytope, and ordinary Reeb orbits for a smoothing of the
polytope, respecting action and Conley-Zehnder index. One can then use a
computer to find all combinatorial Reeb orbits up to a given action and
Conley-Zehnder index. We present some results of experiments testing Viterbo's
conjecture and related conjectures. In particular, we have found some new
examples of polytopes with systolic ratio $1$.

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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph