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Categorial mirror symmetry for K3 surfaces

C. Bartocci·U. Bruzzo·G. Sanguinetti
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Abstract

We study the structure of a modified Fukaya category ${\frak F}(X)$ associated with a K3 surface $X$, and prove that whenever $X$ is an elliptic K3 surface with a section, the derived category of $\fF(X)$ is equivalent to a subcategory of the derived category ${\bold D}(\hat X)$ of coherent sheaves on the mirror K3 surface $\hat X$.

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C. Bartocci, U. Bruzzo, G. Sanguinetti. 1998-11-12. Categorial mirror symmetry for K3 surfaces. https://doi.org/10.1007/s002200050705

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