Totally geodesic surfaces with arbitrarily many compressions
Jaipong, Pradthana
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https://hdl.handle.net/2142/24100
Description
Title
Totally geodesic surfaces with arbitrarily many compressions
Author(s)
Jaipong, Pradthana
Issue Date
2011-05-25T15:05:08Z
Director of Research (if dissertation) or Advisor (if thesis)
Leininger, Christopher J.
Doctoral Committee Chair(s)
Dunfield, Nathan M.
Committee Member(s)
Leininger, Christopher J.
Alexander, Stephanie B.
Athreya, Jayadev S.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Totally geodesic surface
figure eight knot complement
compressing surface
hyperbolic three manifold
Abstract
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.
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