Dehn fillings and small surfaces = 덴 채움과 소곡면

Let M be a compact, connencted, orientable, hyperbolic 3-manifold with a toral boundary component. First, we find the maximal distance between $P^2 -reducing$ and toroidal Dehn fillings. Then we give a very short proof of the result obtained independently by Oh and Wu. Finally we investigate the situations that one filling creates a reducing sphere, and the other creates an essential small surfaces such as a sphere, torus or annulus.
Advisors
Jin, Gyo-Taekresearcher진교택researcher
Publisher
한국과학기술원
Issue Date
2001
Identifier
169618/325007 / 000965280
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 수학전공, 2001.8, [ [ii], 43 p. ]

Keywords

소곡면; 본질곡면; 쌍곡다양체; 덴 수술; 덴 채움; small surface; hyperbolic manifold; essential surface; Dehn surgery; Dehn filling

URI
http://hdl.handle.net/10203/41842
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=169618&flag=t
Appears in Collection
MA-Theses_Ph.D.(박사논문)
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