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small seifert fibred space

Proceedings of the London Mathematical Society (1)

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A CALCULATION OF THE CULLER–SHALEN SEMINORMS ASSOCIATED TO SMALL SEIFERT DEHN FILLINGS
LEILA BEN ABDELGHANI, STEVEN BOYER
Journal:

Proceedings of the London Mathematical Society / Volume 83 / Issue 1 / July 2001

Published online by Cambridge University Press:

20 August 2001, pp. 235-256

Print publication:

July 2001
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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.