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

  • LEILA BEN ABDELGHANI (a1) and STEVEN BOYER (a2)

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.

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

  • LEILA BEN ABDELGHANI (a1) and STEVEN BOYER (a2)

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