Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homological mirror symmetry at large volume   A typical large complex-structure limit for mirror symmetry consists of toric
varieties glued to each other along their toric boundaries. Here we construct
the mirror large volume limit space as a Weinstein symplectic manifold. We
prove homological mirror symmetry: the category of coherent sheaves on the
first space is equivalent to the Fukaya category of the second.
  Our equivalence intertwines the Viterbo restriction maps for a generalized
pair-of-pants cover of the symplectic manifold with the restriction of coherent
sheaves for a certain affine cover of the algebraic variety. We deduce a
posteriori a local-to-global principle conjectured by Seidel -- certain
diagrams of Viterbo restrictions are cartesian -- by passing Zariski descent
through our mirror symmetry result.

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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an