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Mapping Class Groups

  • Sang-hyun Kim
  • Thomas Koberda
  • Mahan Mj
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2231)

Abstract

In this chapter, we shift the focus to exotic actions of mapping class groups on the circle, where here “exotic” means “not conjugate to Nielsen’s standard action” (see Handel and Thurston (Adv Math 56:173–191, 1985) and Casson and Bleiler (Automorphisms of Surfaces After Nielsen and Thurston, Cambridge University Press, Cambridge, 1988) for detailed discussions of Nielsen’s action). We first discuss actions of fibered, hyperbolic 3-manifold groups on S1, in relation to Nielsen’s action.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Sang-hyun Kim
    • 1
  • Thomas Koberda
    • 2
  • Mahan Mj
    • 3
  1. 1.School of MathematicsKorea Institute for Advanced StudySeoulRepublic of Korea
  2. 2.Department of MathematicsUniversity of VirginiaCharlottesvilleUSA
  3. 3.School of MathematicsTata Institute of Fundamental ResearchMumbaiIndia

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