Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The SYZ mirror symmetry and the BKMP remodeling conjecture   The Remodeling Conjecture proposed by Bouchard-Klemm-Mari\~{n}o-Pasquetti
(BKMP) relates the A-model open and closed topological string amplitudes (open
and closed Gromov-Witten invariants) of a symplectic toric Calabi-Yau 3-fold to
Eynard-Orantin invariants of its mirror curve. The Remodeling Conjecture can be
viewed as a version of all genus open-closed mirror symmetry. The SYZ
conjecture explains mirror symmetry as $T$-duality. After a brief review on SYZ
mirror symmetry and mirrors of symplectic toric Calabi-Yau 3-orbifolds, we give
a non-technical exposition of our results on the Remodeling Conjecture for
symplectic toric Calabi-Yau 3-orbifolds. In the end, we apply SYZ mirror
symmetry to obtain the descendent version of the all genus mirror symmetry for
toric Calabi-Yau 3-orbifolds.

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The categories of this paper are: mtrl-th
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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: adap-org
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg