Positive Dehn Twist Expressions for some New Involutions in the Mapping Class Group II

2004/04/19 by Yusuf Ziya Gurtas, Yusuf Z. Gürtaş, Gurtas, Yusuf Ziya
Mathematics · #20F38 #57M07 #57R17 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Symplectic Geometry (math.SG) #math.GT #math.SG #msc:20F38 #msc:57M07 #msc:57R17

paper · pdf · doi:10.48550/arxiv.math/0404311

28 pages, 28 figures

arxiv created 2004/04/19 · openalex publication_date 2004/04/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The positive Dehn twist expressions for the generalizations of the new involutions described in math.GT/0404310 are presented. The homeomorphism types of the Lefschetz fibrations that they define are determined for several examples.

Citations

• Die Gruppe der Abbildungsklassen: Das arithmetische Feld auf Flächen
• A finite set of generators for the homeotopy group of a 2-manifold

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