Realization of the mapping class group by homeomorphisms

DOI10.1007/s00222-007-0039-0zbMath1131.57021OpenAlexW2094517236MaRDI QIDQ884979

Vladimir Marković

Publication date: 7 June 2007

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-007-0039-0

zbMATH Keywords

mapping class groupsurface homeomorphism

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items

Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk ⋮ Topological methods in moduli theory ⋮ Global fixed points of mapping class group actions and a theorem of Markovic ⋮ Homomorphisms between mapping class groups ⋮ Abelianization and Nielsen realization problem of the mapping class group of a handlebody ⋮ A remark on the action of the mapping class group on the unit tangent bundle ⋮ Braid groups and discrete diffeomorphisms of the punctured disk ⋮ Realization of the mapping class group of handlebody by diffeomorphisms ⋮ On the nonrealizability of braid groups by homeomorphisms ⋮ Global fixed points for centralizers and Morita's theorem ⋮ On the non-realizability of braid groups by diffeomorphisms ⋮ A Glimpse into Thurston’s Work ⋮ Non‐realizability of the Torelli group as area‐preserving homeomorphisms ⋮ Unsmoothable group actions on compact one-manifolds ⋮ The Nielsen realization problem for asymptotic Teichmüller modular groups ⋮ Non-realizability of the pure braid group as area-preserving homeomorphisms ⋮ Analytic actions of mapping class groups on surfaces ⋮ Cohomological obstructions to Nielsen realization

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