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# Surveys in Differential Geometry

## Volume 17 (2012)

### Lagrangian Floer theory on compact toric manifolds: A survey

Pages: 229 – 298

DOI: https://dx.doi.org/10.4310/SDG.2012.v17.n1.a6

#### Authors

#### Abstract

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.

Published 15 March 2013