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math.GTMay 1, 2020
1
citations (OpenAlex)
authors
  • Peter Haïssinsky
  • Cyril Lecuire
institutions
  • Institut de Mathématiques de Marseille
  • Institut de Mathématiques de Toulouse
  • Institut de Mécanique et d'Ingénierie de Bordeaux
arXiv abstractPDF
paper

Quasi-isometric rigidity of three manifold groups

arXiv:2005.06813

Abstract

We provide a proof that the classes of finitely generated Kleinian groups and of three-manifold groups are quasi-isometrically rigid.

V3: revised version including corrections and details (70 pages)

References in corpus (10)

  • Relative hyperbolicity and relative quasiconvexity for countable groups
  • Tameness of hyperbolic 3-manifolds
  • 3-manifolds with(out) metrics of nonpositive curvature
  • Isometric group actions on Hilbert spaces: growth of cocycles
  • JSJ decompositions of groups
  • Ubiquitous quasi-Fuchsian surfaces in cusped hyperbolic 3-manifolds
  • From continua to R-trees
  • Hierarchies for Relatively Hyperbolic Virtually Special Groups
  • The Haagerup property is not invariant under quasi-isometry
  • The bumping set and the characteristic submanifold
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