17 citations · 73 across the 18 of their papers we have counts for
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Primitive stability and the Bowditch conditions revisited
Caroline Series
The equivalence of two conditions on the primitive elements in an representation of the free group , namely Minsky's condition of primitive stability…
Primitive stability and Bowditch's BQ-condition are equivalent
Caroline Series
We prove the equivalence of two conditions on the primitive elements in an representation of the free group on two generators, which may hold even when the…
The diagonal slice of Schottky space
Caroline Series, Ser Peow Tan, Yasushi Yamashita
An irreducible representation of the free group on two generators X,Y into SL(2,C) is determined up to conjugation by the traces of X,Y and XY. We study the diagonal slice of repre…
Limits of limit sets II: Geometrically Infinite Groups
Mahan Mj, Caroline Series
We show that for a strongly convergent sequence of purely loxodromic finitely generated Kleinian groups with incompressible ends, Cannon-Thurston maps, viewed as maps from a fixed…
The Maskit embedding of the twice punctured torus
Caroline Series
The Maskit embedding M of a surface Σis the space of geometrically finite groups on the boundary of quasifuchsian space for which the `top' end is homeomorphic to Σ, while the `bot…
Lines of minima are uniformly quasi-geodesic
Young-Eun Choi, Kasra Rafi, Caroline Series
We continue the comparison between lines of minima and Teichmueller geodesics begun in [CRS1]. We show that in the Teichmueller space of a surface S, lines of minima are quasi-geod…