Compressing totally geodesic surfaces

Christopher J. Leininger

Research output: Contribution to journalArticlepeer-review


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
Issue number3
StatePublished - Mar 15 2002


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

ASJC Scopus subject areas

  • Geometry and Topology

Fingerprint Dive into the research topics of 'Compressing totally geodesic surfaces'. Together they form a unique fingerprint.

Cite this