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End invariants for SL(2,C) characters of the one-holed torus

End invariants for SL(2,C) characters of the one-holed torus

We define and study the set ε(ρ) of end invariants of an SL(2,C) character ρ of the one-holed torus T . We show that the set ε(ρ) is the entire projective lamination space [inline-graphic 01] of T if and only if ρ corresponds to the dihedral representation or ρ is …