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

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

2007-03-30

arxiv.org/abs/math/0703918v1

Mathematics

Differential Geometry

26 pages

Scientific paper

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 symmetry, the ``quantum'' corrections necessary to solve
the monodromy of the holomorphic structure of the mirror bundle on the dual
fibration.

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