English

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

Differential Geometry 2007-05-23 v1 Dynamical Systems

Abstract

Given the Lagrangian fibration T4T2T^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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Cite

@article{arxiv.math/0703918,
  title  = {Quantum corrections in mirror symmetry for a 2-dimensional Lagrangian submanifold with an elliptic umbilic},
  author = {G. Marelli},
  journal= {arXiv preprint arXiv:math/0703918},
  year   = {2007}
}

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26 pages