Diffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry

Simple item page
dc.creatorSzendroi, Balazs
dc.date2001-03-22
dc.date2001-03-26
dc.date.accessioned2026-07-07T06:35:23Z
dc.date.available2026-07-07T06:35:23Z
dc.descriptionAssuming 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.
dc.descriptionApprox. 20 pages LaTeX. One reference added
dc.identifierhttps://arxiv.org/abs/math/0103137
dc.identifierhttp://arxiv.org/abs/math/0103137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99779
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleDiffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry
dc.typetext

Files

Collections

arXiv