Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Piecewise circular curves and positivity   We introduce the moduli space of generic piecewise circular $n$-gons in the
Riemann sphere and relate it to a moduli space of Legendrian polygons. We prove
that when $n=2k$, this moduli space contains a connected component homeomorphic
to the Fock-Goncharov space of $k$-tuples of positive flags for
$\mathsf{PSp}(4,\mathbb{R})$ and hence is a topological ball. We characterize
this component geometrically as the space of simple piecewise circular curves
with decreasing curvature.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: math-ph