Positive Dehn Twist Expression for a ℤ₃ action on Σ_g

2008/08/06 by Hisaaki Endo, Endo, Hisaaki, Yusuf Z. Gurtas +2
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

paper · pdf · doi:10.48550/arxiv.0808.0752

24 pages, 17 figures

arxiv created 2008/08/06 · openalex publication_date 2008/08/06 · arxiv updated 2009/12/01 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

A positive Dehn twist product for a ℤ₃ action with g+2 fixed points on the 2-dimensional closed, compact, oriented surface Σ_g is presented. The homeomorphism invariants of the resulting symplectic 4-manifolds are computed.

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