The Conley–Zehnder indices of the Reeb flow action along $$S^1$$ 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.