Moment maps, monodromy and mirror manifolds

Details Moment maps, monodromy and mirror manifolds Moment maps, monodromy and mirror manifolds

2001-04-19

arxiv.org/abs/math/0104196v1

In "Symplectic geometry and mirror symmetry" , eds K. Fukaya, Y.-G. Oh, K. Ono and G. Tian. World Scientific, 2001, 467-498.

Mathematics

Differential Geometry

31 pages, 3 figures; refereed and accepted for publication in "Symplectic Geometry and mirror symmetry: proceedings of a confe

Scientific paper

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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