Mirror symmetry and self-dual manifolds

Michele Grassi

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arXiv · math/0202016

Mirror symmetry and self-dual manifolds

Michele Grassi

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Abstract

We introduce self-dual manifolds and show that they can be used to encode mirror symmetry for affine-Kähler manifolds and for elliptic curves. Their geometric properties, especially the link with special lagrangian fibrations and the existence of a transformation similar to the Fourier-Mukai functor, suggest that this approach may be able to explain mirror symmetry also in other situations

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Michele Grassi. 2002-02-02. Mirror symmetry and self-dual manifolds. https://arxiv.org/abs/math/0202016

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