# Contact Toric Manifolds

@article{Lerman2001ContactTM, title={Contact Toric Manifolds}, author={Eugene Lerman}, journal={Journal of Symplectic Geometry}, year={2001}, volume={1}, pages={785-828} }

We complete the classification of compact connected contact toric manifolds initiated by Banyaga and Molino and by Galicki and Boyer. As an application we prove the conjectures of Toth and Zelditch on toric integrable systems on the n-torus and the 2-sphere.

#### 163 Citations

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We compute the first and second homotopy groups of a class of contact toric manifolds in terms of the images of the associated moment map.

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