Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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COMPARISON OF MIRROR FUNCTORS OF ELLIPTIC CURVES VIA LG/CY CORRESPONDENCE

  • Lee, Sangwook (School of Mathematics Korea Institute for Advanced Study)
  • Received : 2019.08.29
  • Accepted : 2019.12.04
  • Published : 2020.09.01
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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.

Keywords

Acknowledgement

This work was supported by IBS-R003-D1.

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