The fundamental groups of contact toric manifolds

Let $M$ be a connected compact contact toric manifold. Most of such manifolds are of Reeb type. We show that if $M$ is of Reeb type, then $\pi_1 (M)$ is finite cyclic, and we describe how to obtain the order of $\pi_1 (M)$ from the moment map image.

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This work is supported by the NSFC grant K110712116.

Received 25 April 2018

Accepted 16 July 2019

Published 30 July 2020