Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variation of GIT and Variation of Lagrangian Skeletons I: Flip and Flop   Coherent-Constructible Correspondence for toric variety assigns to each
$n$-dimensional toric variety $X_\Sigma$ a Lagrangian skeleton $\Lambda_\Sigma
\subset T^*T^n$, such that the derived category of coherent sheaves
$Coh(X_\Sigma)$ is equivalent to the (wrapped) constructible sheaves $Sh^w(T^n,
\Lambda_\Sigma)$. In this paper, we extend this correspondence, so that flip
and flop between toric varieties corresponds to variation of Lagrangian
skeletons. The main idea is to translate window subcategory in variation of GIT
to a window skeleton.

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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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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: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom