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arXiv math/0104196math.DGhep-thmath.AGmath.SG
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Moment maps, monodromy and mirror manifolds

R. P. Thomas

英文摘要:

Via considerations of symplectic reduction, monodromy, mirror symmetry and Chern-Simons functionals, a conjecture is proposed on the existence of special Lagrangians in the hamiltonian deformation class of a given Lagrangian submanifold of a Calabi-Yau manifold. It involves a stability condition for graded Lagrangians, and can be proved for the simple case of $T^2$.

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