Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homological mirror symmetry for Brieskorn-Pham singularities   We prove that the derived Fukaya category of the Lefschetz fibration defined
by a Brieskorn-Pham polynomial is equivalent to the triangulated category of
singularities associated with the same polynomial together with a grading by an
abelian group of rank one. Symplectic Picard-Lefschetz theory developed by
Seidel is an essential ingredient of the proof.

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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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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: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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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: plasm-ph
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The categories of this paper are: funct-an