Moment maps, monodromy and mirror manifolds
Differential Geometry
2007-05-23 v1 High Energy Physics - Theory
Algebraic Geometry
Symplectic Geometry
Abstract
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 .
Cite
@article{arxiv.math/0104196,
title = {Moment maps, monodromy and mirror manifolds},
author = {R. P. Thomas},
journal= {arXiv preprint arXiv:math/0104196},
year = {2007}
}
Comments
31 pages, 3 figures; refereed and accepted for publication in "Symplectic Geometry and mirror symmetry: proceedings of a conference at KIAS, 2000."