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ON THE CHARACTER VARIETY OF TUNNEL NUMBER 1 KNOTS

Published online by Cambridge University Press:  13 February 2001

HUGH M. HILDEN ,
MARÍA TERESA LOZANO  and
JOSÉ MARÍA MONTESINOS-AMILIBIA
HUGH M. HILDEN
Affiliation:
Department of Mathematics, University of Hawaii, Honolulu, HI 96822, USA
MARÍA TERESA LOZANO
Affiliation:
Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
JOSÉ MARÍA MONTESINOS-AMILIBIA
Affiliation:
Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain
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Abstract

For a hyperbolic knot, the excellent component of the character curve is the one containing the complete hyperbolic structure on the complement of the knot. The paper explains a method of computing the excellent component of the character variety of tunnel number 1 knots.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 938 - 950
Copyright
The London Mathematical Society 2000

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