Surface diffeomorphisms via train-tracks

DOI10.1016/0166-8641(96)00024-7zbMath0870.57048OpenAlexW2004173873MaRDI QIDQ2565106

Zong-He Chen, Hessam Hamidi-Tehrani

Publication date: 7 January 1997

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(96)00024-7

zbMATH Keywords

algorithmmapping class groupDehn twistsurface diffeomorphismpseudo-Anosov\(\pi_ 1\)-train-trackBirman-Series conditionsmeasured train-tracks

Mathematics Subject Classification ID

Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

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Cites Work

• A simple presentation for the mapping class group of an orientable surface
• Algebraic linearity for an automorphism of a surface group
• Train-tracks for surface homeomorphisms
• Combinatorics of Train Tracks. (AM-125)
• Transformation Groups and Natural Bundles
• Pseudo-Anosov Maps and Invariant Train Tracks in the Disc: A Finite Algorithm
• The Nielsen realization problem
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