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A Calculation of the Culler–shalen Seminorms Associated to Small Seifert Dehn Fillings
Author(s) -
Abdelghani Leila Ben,
Boyer Steven
Publication year - 2001
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/83.1.235
Subject(s) - mathematics , knot (papermaking) , dehn surgery , pure mathematics , mathematical analysis , composite material , materials science
We determine the relationship between the multiplicities of the zeros of certain rational functions defined on the SL 2 (C) and PSL 2 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.