G. Marelli

collaborators

4 papers

math.DS2007

Quantum corrections to the holomorphic structure of the mirror bundle along the caustic and the bifurcation locus

G. Marelli

Given, in the Lagrangian torus fibration $R^{4} \to R^{2}$ , a Lagrangian submanifold $L$ , endowed with a trivial flat connection, the corresponding mirror object is constructed on the d…

math.DG2007

Quantum corrections in mirror symmetry for a 2-dimensional Lagrangian submanifold with an elliptic umbilic

G. Marelli

Given the Lagrangian fibration $T^{4} \to T^{2}$ and a Lagrangian submanifold, exhibiting an elliptic umbilic and supporting a flat line bundle, we study, in the context of mirror symme…

math.DS2007

Two-dimensional Lagrangian singularities and bifurcations of gradient lines II

G. Marelli

Motivated by mirror symmetry, we consider the Lagrangian fibration $R^{4} \to R^{2}$ and Lagrangian maps $f : L ↪ R^{4} \to R^{2}$ , exhibiting an unstable singularity, and stud…

math.DS2007

Two-dimensional Lagrangian singularities and bifurcations of gradient lines I

G. Marelli

Motivated by mirror symmetry, we consider a Lagrangian fibration $X \to B$ and Lagrangian maps $f : L ↪ X \to B$ , when $L$ has dimension 2, exhibiting an unstable singular…