Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrangian pairs of pants   We construct a Lagrangian submanifold, inside the cotangent bundle of a real
torus, which we call a Lagrangian pair of pants. It is given as the graph of
the differential of a smooth function defined on the real blow up of a
Lagrangian coamoeba. Lagrangian pairs of pants are the main building blocks in
a construction of smooth Lagrangian submanifolds of $(\mathbb{C}^*)^n$ which
lift tropical subvarieties in $\mathbb{R}^n$. As an example we explain how to
lift tropical curves in $\mathbb{R}^2$ to Lagrangian submanifolds of
$(\mathbb{C}^*)^2$. We also give several new examples of Lagrangian
submanifolds inside toric varieties, some of which are monotone.

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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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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: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph