Journal of Symplectic Geometry
Volume 2 (2004)
Symplectic invariants of some families of Lagrangian $T^3$-fibrations
Pages: 279 – 308
We construct families of Lagrangian 3-torus fibrations resembling the topology of some of the singularities in Topological Mirror Symmetry [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.