Surveys in Differential Geometry
Volume 17 (2012)
Lagrangian Floer theory on compact toric manifolds: A survey
Pages: 229 – 298
This article is a survey of the Lagrangian Floer theory of toric manifolds, which summarizes the results obtained in a series of the present authors’ papers. In this survey, we discuss calculations of the Floer cohomology of Lagrangian T orbits in compact toric manifolds. Applications to symplectic topology and to mirror symmetry are also discussed.