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Bull. Korean Math. Soc. 2010; 47(6): 1297-1310

Printed November 1, 2010

https://doi.org/10.4134/BKMS.2010.47.6.1297

Copyright © The Korean Mathematical Society.

Twisted face-pairing 3-manifolds which are hyperbolic

Sungbok Hong and Kyunghwa Lee

Korea University, Korea University

Abstract

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We construct a family of 3-balls using cones which represent closed orientable 3-manifolds and study twisted face-pairing construction due to Cannon, Floyd and Parry to understand the structure of such manifolds. Moreover, we prove that those manifolds are hyperbolic.

Keywords: twisted face-pairing, faceted 3-ball, twisted face-pairing 3-manifolds, Takahashi manifolds

MSC numbers: 57M99

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