Diffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry

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Assuming the standard framework of mirror symmetry, a conjecture is formulated describing how the diffeomorphism group of a Calabi-Yau manifold Y should act by families of Fourier-Mukai transforms over the complex moduli space of the mirror X. The conjecture generalizes a proposal of Kontsevich relating monodromy transformations and self-equivalences. Supporting evidence is given in the case of elliptic curves, lattice-polarized K3 surfaces and Calabi-Yau threefolds. A relation to the global Torelli problem is discussed.
Approx. 20 pages LaTeX. One reference added

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Algebraic Geometry, High Energy Physics - Theory, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/99779

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103137
 http://arxiv.org/abs/math/0103137

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arXiv