Mirror Symmetry via 3-tori for a class of Calabi-Yau Threefolds

Mark Gross; P. M. H. Wilson

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arXiv · alg-geom/9608004

Mirror Symmetry via 3-tori for a class of Calabi-Yau Threefolds

Mark Gross·P. M. H. Wilson

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Abstract

We give an example of the recent proposed mirror construction of Strominger, Yau and Zaslow in ``Mirror Symmetry is T-duality,'' hep-th/9606040. The paper first considers mirror symmetry for K3 surfaces in light of this construction. We then consider the example of mirror symmetry for Calabi-Yau threefolds of the type considered by Voisin and Borcea, of the form SxE/involution where S is a K3 surface with involution, and E is an elliptic curve. We show how dualizing a family of special Lagrangian real 3-tori does actually produce the mirrors in these examples.

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BibTeX RIS

Mark Gross, P. M. H. Wilson. 1996-11-15. Mirror Symmetry via 3-tori for a class of Calabi-Yau Threefolds. https://arxiv.org/abs/alg-geom/9608004

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