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Positive Dehn Twist Expressions for Some Elements of Finite Order in the Mapping Class Group

Yusuf Z. Gurtas
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Abstract

Positive Dehn twist products for some elements of finite order in the mapping class group of a 2-dimensional closed, compact, oriented surface $Σ_g$, which are rotations of $Σ_g$ through $2π/p$, are presented. The homeomorphism invariants of the resulting simply connected symplectic 4- manifolds are computed.

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Yusuf Z. Gurtas. 2005-01-22. Positive Dehn Twist Expressions for Some Elements of Finite Order in the Mapping Class Group. https://arxiv.org/abs/math/0501385

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