Yusuf Z. Gurtas
Published 2005-01-22Version 1
Positive Dehn twist products for some elements of finite order in the mapping class group of a 2-dimensional closed, compact, oriented surface $\Sigma_g$, which are rotations of $\Sigma_g$ through $2\pi /p$, are presented. The homeomorphism invariants of the resulting simply connected symplectic 4- manifolds are computed.
Comments: 17 pages, 16 figures
Every mapping class group is generated by 6 involutions
Positive Dehn Twist Expression for a $\mathbb{Z}_3$ action on $Σ_g$
The mapping class group of a genus two surface is linear
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