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

2005/01/22 by Yusuf Z. Gurtas, Yusuf Z. Gürtaş, Gurtas, Yusuf Z.
Computer Science · Mathematics · #20F38 #57M07 #57R17 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.GT #msc:20F38 #msc:57M07 #msc:57R17 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/0501385

17 pages, 16 figures

arxiv created 2005/01/22 · openalex publication_date 2005/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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