Compressing totally geodesic surfaces

Christopher J. Leininger

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we prove that one can find surgeries arbitrarily close to infinity in the Dehn surgery space of the figure eight knot complement for which some immersed totally geodesic surface compresses.

Original languageEnglish (US)
Pages (from-to)309-328
Number of pages20
JournalTopology and its Applications
Volume118
Issue number3
DOIs
StatePublished - Mar 15 2002

Keywords

  • Arithmetic
  • Hyperbolic 3-manifold
  • Incompressible
  • Totally geodesic

ASJC Scopus subject areas

  • Geometry and Topology

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