2006/11/23 by Indurskis, Gabriel
#20C15 #57M27 (Primary) #57N10 #57R65 (Secondary) #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.math/0611713
We determine the total Culler-Shalen seminorms for the 3-manifolds Wp/q:=W(p/q,-) obtained by Dehn filling with slope p/q on one boundary component of the Whitehead link exterior W when p is odd. As part of the proof, we use an explicit parametrization of the eigenvalue variety of W to find a one-variable polynomial whose roots characterize characters of p-reps of π1(Wp/q), i.e. representations with values in SL2(C) which are parabolic on the peripheral subgroup.