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NUMBER M18017
AUTHOR Lee, Sangwook
TITLE Noncommutative homological mirror symmetry of elliptic curves
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JOURNAL KYOTO JOURNAL OF MATHEMATICS, 2021
ABSTRACT We prove an equivalence of two A(infinity)-functors, via Orlov'sLandau-Ginzburg/ Calabi-Yau (LG/CY) correspondence. One is the Polishchuk-Zaslowmirror symmetry functor of elliptic curves, and the other is a localized mirror functor from the Fukaya category of T-2 to a category of noncommutative matrix factorizations. As a corollary, we prove that the noncommutative mirror functor LMgrLt realizes homological mirror symmetry for any t.
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