Flexibility of group actions on the circle

DOI10.1007/978-3-030-02855-8zbMath1407.57001arXiv1610.04098OpenAlexW2762162791MaRDI QIDQ1626814

Thomas Koberda, Sang-hyun Kim, Mahan Mitra

Publication date: 21 November 2018

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04098

zbMATH Keywords

Fuchsian groupmapping class groupcombination theoremsgroups acting on the circlesemiconjugate actions

Mathematics Subject Classification ID

Geometric group theory (20F65) Dynamical systems involving maps of the circle (37E10) Other groups related to topology or analysis (20F38) Group actions on manifolds and cell complexes in low dimensions (57M60) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02)

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Shapes of hyperbolic triangles and once-punctured torus groups ⋮ Integrability of moduli and regularity of Denjoy counterexamples ⋮ Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms. II: Applications. ⋮ Groups of piecewise linear homeomorphisms of flows ⋮ Non-freeness of groups generated by two parabolic elements with small rational parameters

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