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arXiv · 1903.08355

Comparison of mirror functors of elliptic curves via LG/CY correspondence

Sangwook Lee
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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.

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Sangwook Lee. 2019-03-20. Comparison of mirror functors of elliptic curves via LG/CY correspondence. https://arxiv.org/abs/1903.08355

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