Data di Pubblicazione:
2010
Citazione:
Symmetries of Lagrangian fibrations / R. Castano Bernard, D. Matessi, J.P. Solomon. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 225:3(2010 Oct), pp. 1341-1386. [10.1016/j.aim.2010.04.001]
Abstract:
We construct fiber-preserving anti-symplectic involutions for a large class of symplectic manifolds with Lagrangian torus fibrations. In particular, we treat the K3 surface and the six-dimensional examples constructed by Castaño-Bernard and Matessi (2009) [8], which include a six-dimensional symplectic manifold homeomorphic to the quintic threefold. We interpret our results as corroboration of the view that in homological mirror symmetry, an anti-symplectic involution is the mirror of duality. In the same setting, we construct fiber-preserving symplectomorphisms that can be interpreted as the mirror to twisting by a holomorphic line bundle.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Symplectic manifolds; Calabi-Yau manifolds; Lagrangian fibrations; Homological mirror symmetry
Elenco autori:
R. Castano Bernard, D. Matessi, J.P. Solomon
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