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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Boundary structure of hyperbolic $ 3$-manifolds admitting annular fillings at large distance


Author: Sangyop Lee
Journal: Proc. Amer. Math. Soc. 134 (2006), 2767-2770
MSC (2000): Primary 57M25
Published electronically: March 21, 2006
MathSciNet review: 2213757
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Abstract: We show that if a hyperbolic $ 3$-manifold $ M$ with $ \partial M$ a union of tori admits two annular Dehn fillings at distance $ \Delta\ge 3$, then $ M$ is bounded by at most three tori.


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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
Email: slee@kias.re.kr

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08257-8
PII: S 0002-9939(06)08257-8
Keywords: Dehn filling, annular manifold
Received by editor(s): January 27, 2005
Received by editor(s) in revised form: March 21, 2005
Published electronically: March 21, 2006
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.