On the surjectivity of the symplectic representation of the mapping class group

DOI10.1016/j.topol.2022.108334OpenAlexW3081215855MaRDI QIDQ2105032

Inhyeok Choi, Hyungryul Baik, Dongryul M. Kim

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/2008.10142

zbMATH Keywords

mapping class groupsurface homeomorphismpseudo-Anosovsymplectic representationbiPerron algebraic integer

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Eigenvalues, singular values, and eigenvectors (15A18) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• Faithful actions of automorphisms on the space of orderings of a group.
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• New infinite families of pseudo-Anosov maps with vanishing Sah-Arnoux-Fathi invariant
• A homological recipe for pseudo-Anosovs
• Outer automorphism groups of equivalence relations for mapping class group actions
• Growth rate of surface homeomorphisms and flow equivalence
• On the geometry and dynamics of diffeomorphisms of surfaces
• Billiards and Teichmüller curves on Hilbert modular surfaces
• Is a typical bi-Perron algebraic unit a pseudo-Anosov dilatation?

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