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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
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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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