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Totally geodesic surfaces with arbitrarily many compressions

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Title: Totally geodesic surfaces with arbitrarily many compressions
Author(s): Jaipong, Pradthana
Director of Research: Leininger, Christopher J.
Doctoral Committee Chair(s): Dunfield, Nathan M.
Doctoral Committee Member(s): Leininger, Christopher J.; Alexander, Stephanie B.; Athreya, Jayadev S.
Department / Program: Mathematics
Discipline: Mathematics
Degree Granting Institution: University of Illinois at Urbana-Champaign
Degree: Ph.D.
Genre: Dissertation
Subject(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.
Issue Date: 2011-05-25
URI: http://hdl.handle.net/2142/24100
Rights Information: Copyright 2011 Pradthana Jaipong
Date Available in IDEALS: 2011-05-25
Date Deposited: 2011-05
 

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