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

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