Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Tropical Superpotential For $\mathbb{P}^2$   We present an extended worked example of the computation of the tropical
superpotential considered by Carl--Pumperla--Siebert. In particular we consider
an affine manifold associated to the complement of a non-singular genus one
plane curve, and calculate the wall and chamber decomposition determined by the
Gross--Siebert algorithm. Using the results of Carl--Pumperla--Siebert we
determine the tropical superpotential, via broken line counts, in every chamber
of this decomposition. The superpotential defines a Laurent polynomial in every
chamber, which we demonstrate to be identical to the Laurent polynomials
predicted by Coates--Corti--Galkin--Golyshev--Kaspzryk to be mirror to
$\mathbb{P}^2$.

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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an