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Reducing and annular Dehn fillings
Author(s):
Sangyop
Lee
Journal:
Trans. Amer. Math. Soc.
359
(2007),
227-247.
MSC (2000):
Primary 57N10
Posted:
August 15, 2006
MathSciNet review:
2247889
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Abstract |
References |
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Additional information
Abstract:
If two Dehn fillings on a simple manifold create a reducible manifold and an annular manifold respectively, then the distance between those filling slopes is known to be at most two. Moreover, Eudave-Muñoz and Wu gave infinitely many examples of manifolds admitting reducing and annular Dehn fillings at distance two. In this paper, we complement their examples to establish a complete list of simple manifolds admitting such a pair of Dehn fillings.
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Additional Information:
Sangyop
Lee
Affiliation:
School of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Dongdaemun-gu Seoul 130-722, Korea
Address at time of publication:
Department of Mathematics, Seoul National University, Seoul 151-747, Korea
Email:
slee@kias.re.kr
DOI:
10.1090/S0002-9947-06-03892-X
PII:
S 0002-9947(06)03892-X
Keywords:
Reducible,
annular,
Dehn filling
Received by editor(s):
October 27, 2003
Received by editor(s) in revised form:
October 20, 2004
Posted:
August 15, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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