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On hyperbolic 3-manifolds with an infinite number of fibrations over S1

Published online by Cambridge University Press:  11 January 2006

HUGH M. HILDEN ,
MARÍA TERESA LOZANO  and
JOSÉ MARÍA MONTESINOS-AMILIBIA
HUGH M. HILDEN
Affiliation:
Department of Mathematics, University of Hawaii, Honolulu, Hi 96822, U.S.A.
MARÍA TERESA LOZANO
Affiliation:
Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain. e-mail: [email protected]
JOSÉ MARÍA MONTESINOS-AMILIBIA
Affiliation:
Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain.
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Abstract

Arithmetic and non arithmetic hyperbolic 3-manifolds having infinitely many fibrations over $S^{1}$ of arbitrary high genus are constructed. A concrete example is studied in detail.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 140 , Issue 1 , January 2006 , pp. 79 - 93
Copyright
2006 Cambridge Philosophical Society

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