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.

24 pages, 17 figures