Lagrangian 3-torus fibrations
Castaño Bernard, Ricardo ; Matessi, Diego
J. Differential Geom., Tome 81 (2009) no. 2, p. 483-573 / Harvested from Project Euclid
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We prove that Mark Gross' [8] topological Calabi-Yau compactifications can be made into symplectic compactifications. To prove this we develop a method to construct singular Lagrangian 3-torus fibrations over certain a priori given integral affine manifolds with singularities, which we call simple. This produces pairs of compact symplectic 6-manifolds homeomorphic to mirror pairs of Calabi-Yau 3-folds together with Lagrangian fibrations whose underlying integral affine structures are dual.
Publié le : 2009-03-15
Classification:  
@article{1236604343,
     author = {Casta\~no Bernard, Ricardo and Matessi, Diego},
     title = {Lagrangian 3-torus fibrations},
     journal = {J. Differential Geom.},
     volume = {81},
     number = {2},
     year = {2009},
     pages = { 483-573},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1236604343}
}

Castaño Bernard, Ricardo; Matessi, Diego. Lagrangian 3-torus fibrations. J. Differential Geom., Tome 81 (2009) no. 2, pp.  483-573. http://gdmltest.u-ga.fr/item/1236604343/