Symplectic invariants of some
families of Lagrangian $T^3$-fibrations

Casta\~no Bernard, Ricardo

Symplectic invariants of some families of Lagrangian $T^3$-fibrations

J. Symplectic Geom., Tome 2 (2004) no. 2, p. 279-308 / Harvested from Project Euclid

Résumé

We construct families of Lagrangian 3-torus fibrations resembling the topology of some of the singularities in \textit{Topological Mirror Symmetry} \cite{TMS}. We perform a detailed analysis of the affine structure on the base of these fibrations near their discriminant loci. This permits us to classify the aforementioned families up to fibre preserving symplectomorphism. The kind of degenerations we investigate give rise to a large number of symplectic invariants.

Publié le : 2004-09-14
Classification:

@article{1118755323,
     author = {Casta\\textasciitilde no Bernard, Ricardo},
     title = {Symplectic invariants of some
families of Lagrangian $T^3$-fibrations},
     journal = {J. Symplectic Geom.},
     volume = {2},
     number = {2},
     year = {2004},
     pages = { 279-308},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1118755323}
}

Casta\~no Bernard, Ricardo. Symplectic invariants of some
families of Lagrangian $T^3$-fibrations. J. Symplectic Geom., Tome 2 (2004) no. 2, pp.  279-308. http://gdmltest.u-ga.fr/item/1118755323/