Noncommutative homological mirror symmetry of elliptic curves

نویسندگان

چکیده

We prove an equivalence of two A∞-functors, via Orlov’s Landau–Ginzburg/ Calabi–Yau (LG/CY) correspondence. One is the Polishchuk–Zaslow mirror symmetry functor elliptic curves, and other a localized from Fukaya category T2 to noncommutative matrix factorizations. As corollary, we that LMgrLt realizes homological for any t.

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ژورنال

عنوان ژورنال: Kyoto Journal of Mathematics

سال: 2021

ISSN: ['2156-2261', '2154-3321']

DOI: https://doi.org/10.1215/21562261-2020-0001