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2005 On hyperbolic 3–manifolds realizing the maximal distance between toroidal Dehn fillings
Hiroshi Goda, Masakazu Teragaito
Algebr. Geom. Topol. 5(2): 463-507 (2005). DOI: 10.2140/agt.2005.5.463

Abstract

For a hyperbolic 3–manifold M with a torus boundary component, all but finitely many Dehn fillings on the torus component yield hyperbolic 3–manifolds. In this paper, we will focus on the situation where M has two exceptional Dehn fillings, both of which yield toroidal manifolds. For such situation, Gordon gave an upper bound for the distance between two slopes of Dehn fillings. In particular, if M is large, then the distance is at most 5. We show that this upper bound can be improved by 1 for a broad class of large manifolds.

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Hiroshi Goda. Masakazu Teragaito. "On hyperbolic 3–manifolds realizing the maximal distance between toroidal Dehn fillings." Algebr. Geom. Topol. 5 (2) 463 - 507, 2005. https://doi.org/10.2140/agt.2005.5.463

Information

Received: 11 January 2005; Revised: 13 April 2005; Accepted: 29 April 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1082.57011
MathSciNet: MR2153119
Digital Object Identifier: 10.2140/agt.2005.5.463

Subjects:
Primary: 57M25
Secondary: 57M50

Rights: Copyright © 2005 Mathematical Sciences Publishers

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