Categorial mirror symmetry for K3 surfaces

Abstract

We study the structure of a modified Fukaya category $\mathfrak{F}(X)$ 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 $\mathbf{D}(\hat{X})$ of coherent sheaves on the mirror K3 surface $\hat{X}$.

11 pages, AmsLatex. Exposition (hopefully) improved, one argument simplified

Cited by in corpus (2)

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