Totally geodesic surfaces with arbitrarily many compressions

A closed totally geodesic surface in the figure eight knot complement remains incompressible in all but finitely many Dehn fllings. In this thesis, we show that there is no universal upper bound on the number of such fillings, independent of the surface. This answers a question of Ying-Qing Wu.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Jaipong, Pradthana

Contributors dc:contributor

• Leininger, Christopher J.
• Dunfield, Nathan M.
• Alexander, Stephanie B.
• Athreya, Jayadev S.

• Totally geodesic surface
• figure eight knot complement
• compressing surface
• hyperbolic three manifold

Statement dc:rights

• Copyright 2011 Pradthana Jaipong

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/24100

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/24100