18 citations · 36 across the 3 of their papers we have counts for
4 papers
Conifold transitions via affine geometry and mirror symmetry
Ricardo Castano-Bernard, Diego Matessi
Mirror symmetry of Calabi-Yau manifolds can be understood via a Legendre duality between a pair of certain affine manifolds with singularities called tropical manifolds. In this ar…
Symmetries of Lagrangian fibrations
Ricardo Castaño-Bernard, Diego Matessi, Jake P. Solomon
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…
Semi-global invariants of piecewise smooth Lagrangian fibrations
R. Castano-Bernard, D. Matessi
We study certain types of piecewise smooth Lagrangian fibrations of smooth symplectic manifolds, which we call stitched Lagrangian fibrations. We extend the classical theory of act…
Symplectic invariants of some families of Lagrangian T^3 fibrations
Ricardo Castaño-Bernard
In this paper we construct and classify Lagrangian T^3-fibrations on non compact symplectic manifolds with singular fibres of prescribed topological type. This contributes to the u…