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J. Korean Math. Soc. 2020; 57(5): 1135-1165
Online first article January 9, 2020 Printed September 1, 2020
https://doi.org/10.4134/JKMS.j190589
Copyright © The Korean Mathematical Society.
Comparison of mirror functors of elliptic curves via LG/CY correspondence
Sangwook Lee
Korea Institute for Advanced Study
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: LG/CY correspondence, homological mirror symmetry
MSC numbers: 53D37
Supported by: This work was supported by IBS-R003-D1
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