Journal of Symplectic Geometry

Volume 18 (2020)

Number 3

The fundamental groups of contact toric manifolds

Pages: 815 – 818



Hui Li (School of Mathematical Sciences, Soochow University, Suzhou, Jiangsu, China)


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.

This work is supported by the NSFC grant K110712116.

Received 25 April 2018

Accepted 16 July 2019

Published 30 July 2020