24 citations · 78 across the 13 of their papers we have counts for
13 papers
First Betti number of real Calabi-Yau hypersurfaces: examples
Diego Matessi, Arthur Renaudineau
Continuing the investigation of real Calabi-Yau hypersurfaces in toric varieties obtained by patchworking, we present a new theorem concerning the computation of their first Betti…
Mirror symmetry for tropical hypersurfaces and patchworking
Diego Matessi, Arthur Renaudineau
In the first part of the paper, we prove a mirror symmetry isomorphism between integral tropical homology groups of a pair of mirror tropical Calabi-Yau hypersurfaces. We then appl…
On real Calabi-Yau threefolds twisted by a section
Diego Matessi
We study the mod cohomology of real Calabi-Yau threefolds given by real structures which preserve the torus fibrations constructed by Gross. We extend the results of Castaño-Be…
Lagrangian submanifolds from tropical hypersurfaces
Diego Matessi
We prove that a smooth tropical hypersurface in can be lifted to a smooth embedded Lagrangian submanifold in . This completes the proof of the resu…
Lagrangian pairs of pants
Diego Matessi
We construct a Lagrangian submanifold, inside the cotangent bundle of a real torus, which we call a Lagrangian pair of pants. It is given as the graph of the differential of a smoo…
On homological mirror symmetry of toric Calabi-Yau three-folds
Mark Gross, Diego Matessi
We use Lagrangian torus fibrations on the mirror of a toric Calabi-Yau threefold to construct Lagrangian sections and various Lagrangian spheres on . We then prop…