G. Marelli

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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.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…