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A CALCULATION OF THE CULLER–SHALEN SEMINORMS ASSOCIATED TO SMALL SEIFERT DEHN FILLINGS

Published online by Cambridge University Press:  20 August 2001

LEILA BEN ABDELGHANI  and
STEVEN BOYER
LEILA BEN ABDELGHANI
Affiliation:
Faculté des Sciences de Monastir, Université de Monastir, Monastir 5000, Tunisia, leila.benabdelghani@fsm.rnu.tn
STEVEN BOYER
Affiliation:
Département de Mathématiques, UQAM, P.O. Box 8888, Station ‘Centre-Ville’, Montreal H3C 3P8, Canada, boyer@math.uqam.ca
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Abstract

We determine the relationship between the multiplicities of the zeros of certain rational functions defined on the ${\rm SL}_2(\mathbb C)$ and ${\rm PSL}_2(\mathbb C)$ character varieties of knot exteriors. This leads to a formula for the Culler--Shalen seminorms associated to small Seifert Dehn fillings of such manifolds. 2000 Mathematics Subject Classification: 57M05, 57M27, 57R65.

Keywords

${\rm SL}_2(\mathbb C)$-character varietyCuller--Shalen seminormsmall Seifert fibred space
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 83 , Issue 1 , July 2001 , pp. 235 - 256
Copyright
2001 London Mathematical Society

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