Mirror Symmetry on K3 Surfaces via Fourier–Mukai Transform

  title={Mirror Symmetry on K3 Surfaces via Fourier–Mukai Transform
  author={Claudio Bartocci and Ugo Bruzzo and Daniel Hern{\'a}ndez Ruip{\'e}rez and Jos{\'e} M. Mu{\~n}oz Porras},
  journal={Communications in Mathematical Physics},
Abstract: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. From the mathematical viewpoint the novelty is that we exhibit another example of a… 

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