Mirror symmetry on K3 surfaces via Fourier-Mukai transform

Physics – High Energy Physics – High Energy Physics - Theory

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15 pages, AMS-LaTeX v1.2. Final version to appear in Commun. Math. Phys

Scientific paper

10.1007/s002200050380

We use a relative Fourier-Mukai transform on elliptic K3 surfaces $X$ to describe mirror symmetry. The action of this Fourier-Mukai transform on the cohomology ring of $X$ reproduces relative T-duality and provides an infinitesimal isometry of the moduli space of algebraic structures on $X$ which, in view of the triviality of the quantum cohomology of K3 surfaces, can be interpreted as mirror symmetry.

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