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 S 1, in relation to Nielsen’s action.
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Kim, Sh., Koberda, T., Mj, M. (2019). Mapping Class Groups. In: Flexibility of Group Actions on the Circle. Lecture Notes in Mathematics, vol 2231. Springer, Cham. https://doi.org/10.1007/978-3-030-02855-8_7
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DOI: https://doi.org/10.1007/978-3-030-02855-8_7
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