The Conley-Zehnder indices of the Reeb flow action along $S^1$-fibers over certain orbifolds

Abstract

We prove a useful relation between the Conley-Zehnder indices of the Reeb vector flow action along periodic orbits in prequantization bundles and the orbifold Chern class of the base symplectic orbifolds motivated by the well-known case of manifolds. We also apply this method to primary examples.