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math.GTFeb 1, 2007
6
citations (OpenAlex)
authors
  • Richard P. Kent
  • Christopher J. Leininger
arXiv abstractPDF
paper

Subgroups of the mapping class group from the geometrical viewpoint

arXiv:math/0702034

Abstract

We survey the analogy between Kleinian groups and subgroups of the mapping class group of a surface.

27 pages. A survey to appear in the Proceedings of the 2005 Ahlfors--Bers Colloquium

References in corpus (10)

  • Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
  • Tameness of hyperbolic 3-manifolds
  • Convex cocompact subgroups of mapping class groups
  • On groups generated by two positive multi-twists: Teichmueller curves and Lehmer's number
  • Word hyperbolic extensions of surface groups
  • Kleinian groups and the complex of curves
  • A simple criterion for non-relative hyperbolicity and one-endedness of groups
  • Thin triangles and a multiplicative ergodic theorem for Teichmüller geometry
  • Dimension and rank for mapping class groups
  • Shadows of mapping class groups: capturing convex cocompactness

Cited by in corpus (3)

  • Trees and mapping class groups
  • The limit set of non-orientable mapping class groups
  • Accidental parabolics in mapping class groups
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