Comparison of mirror functors of elliptic curves via LG/CY correspondence
J. Korean Math. Soc.
Published online January 9, 2020
Sangwook Lee
Korea Institute for Advanced Study
Abstract : Polishchuk-Zaslow explained the homological mirror symmetry between Fukaya category of symplectic torus and the derived category of coherent sheaves of elliptic curves via Lagrangian torus fibration. Recently, Cho-Hong-Lau found another proof of homological mirror symmetry using localized mirror functor, whose target category is given by graded matrix factorizations. We find an explicit relation between these two approaches.
Keywords : Landau-Ginzburg/Calabi-Yau correspondence, localized mirror functor
MSC numbers : 53D37
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