Positive Dehn Twist Expression for a $\mathbb{Z}_3$ action on $\Sigma_g$

Abstract

A positive Dehn twist product for a $\mathbb{Z}_3$ action with $g+2$ fixed points on the 2-dimensional closed, compact, oriented surface $\Sigma_g$ is presented. The homeomorphism invariants of the resulting symplectic 4-manifolds are computed.