Mirror symmetry on K3 surfaces via Fourier-Mukai transform
alg-geom
2009-10-30 v3 High Energy Physics - Theory
Algebraic Geometry
Abstract
We use a relative Fourier-Mukai transform on elliptic K3 surfaces to describe mirror symmetry. The action of this Fourier-Mukai transform on the cohomology ring of reproduces relative T-duality and provides an infinitesimal isometry of the moduli space of algebraic structures on which, in view of the triviality of the quantum cohomology of K3 surfaces, can be interpreted as mirror symmetry.
Cite
@article{arxiv.alg-geom/9704023,
title = {Mirror symmetry on K3 surfaces via Fourier-Mukai transform},
author = {Claudio Bartocci and Ugo Bruzzo and Daniel Hernandez Ruiperez and Jose' M. Mu~noz Porras},
journal= {arXiv preprint arXiv:alg-geom/9704023},
year = {2009}
}
Comments
15 pages, AMS-LaTeX v1.2. Final version to appear in Commun. Math. Phys