\(z\)-classes in the mapping class group

DOI10.1016/j.topol.2022.108196zbMath1500.57013OpenAlexW4285604201WikidataQ114127884 ScholiaQ114127884MaRDI QIDQ2165556

Shiv Parsad

Publication date: 20 August 2022

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

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108196

zbMATH Keywords

surfacemapping classperiodicpseudo-periodicreduciblepseudo-Anosov\(z\)-classmulti-twist

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• Pseudo-periodic maps and degeneration of Riemann surfaces
• Dynamics of linear and affine maps
• Thurston's Work on Surfaces (MN-48)
• Commuting isometries of the complex hyperbolic space
• ROOTS OF DEHN TWISTS ABOUT MULTICURVES
• 𝑧-classes of isometries of the hyperbolic space
• Structures of Elliptic Irreducible Subgroups of the Modular Group
• The z-classes of quaternionic hyperbolic isometries

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