Se p 20 03 An infinite family of hyperbolic graph complements in S 3

  title={Se p 20 03 An infinite family of hyperbolic graph complements in S 3},
For any g > 2 we construct a graph Γg ⊂ S whose exterior Mg = S\N(Γg) supports a complete finite-volume hyperbolic structure with one toric cusp and a connected geodesic boundary of genus g. We compute the canonical decomposition and the isometry group of Mg, showing in particular that any selfhomeomorphism of Mg extends to a self-homeomorphism of the pair (S , Γg), and that Γg is chiral. Building on a result of Lackenby [5] we also show that any non-meridinal Dehn filling of Mg is hyperbolic… CONTINUE READING
3 Citations
9 References
Similar Papers


Publications citing this paper.
Showing 1-3 of 3 extracted citations


Publications referenced by this paper.
Showing 1-9 of 9 references

Convex hulls and isometries of cusped hyperbolic 3-manifolds

  • J. R. Weeks
  • Topology Appl
  • 1993
1 Excerpt

Quasifuchsian Surfaces in Hyperbolic Knots Complements

  • C. Adams
  • J. Austr. Math. Soc
  • 1993
1 Excerpt

An algorithm producing hyperbolicity equations for a link complement in S3

  • C. Petronio
  • Geom. Dedicata
  • 1992
2 Excerpts

Polyhedral decomposition of hyperbolic manifolds with boundary

  • S. Kojima
  • Proc. Work. Pure Math
  • 1990
2 Excerpts

Involutions of sufficiently large 3-manifolds, Topology

  • J. L. Tollefson
  • 1981
2 Excerpts

The geometry and topology of 3-manifolds”, mimeographed

  • W. P. Thurston
  • notes, Princeton,
  • 1979

Similar Papers

Loading similar papers…