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Noncommutative homological mirror symmetry of elliptic curves
- Authors
- Lee, Sangwook
- Issue Date
- Sep-2021
- Publisher
- DUKE UNIV PRESS
- Citation
- KYOTO JOURNAL OF MATHEMATICS, v.61, no.3, pp.723 - 743
- Journal Title
- KYOTO JOURNAL OF MATHEMATICS
- Volume
- 61
- Number
- 3
- Start Page
- 723
- End Page
- 743
- ISSN
- 2156-2261
- 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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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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Related Researcher
- Lee, Sangwook
- College of Natural Sciences (Department of Mathematics)