2001/04/19 by R. P. Thomas · 1 citation
Mathematics · Physics and Astronomy · #math.DG #hep-th #math.AG #math.SG #msc:14J32
published as In "Symplectic geometry and mirror symmetry" , eds K. Fukaya, Y.-G. Oh, K. Ono and G. Tian. World Scientific, 2001, 467-498. · 31 pages, 3 figures; refereed and accepted for publication in "Symplectic Geometry and mirror symmetry: proceedings of a conference at KIAS, 2000."
arxiv created 2001/04/19 · arxiv updated 2009/11/30
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 T2.