7 citations · 14 across the 4 of their papers we have counts for
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Thurston's bending measure conjecture for once punctured torus groups
Caroline Series
We prove Thurston's bending measure conjecture for quasifuchsian once punctured torus groups. The conjecture states that the bending measures of the two components of the convex hu…
Lengths are coordinates for convex structures
Young-Eun Choi, Caroline Series
Suppose that N is a geometrically finite orientable hyperbolic 3-manifold. Let P(N,C) be the space of all geometrically finite hyperbolic structures on N whose convex core is bent…
Limits of quasifuchsian groups with small bending
C. Series
We study limits of quasifuchsian groups for which the bending measures on the convex hull boundary tend to zero, giving necessary and sufficient conditions for the limit group to e…
Pleating invariants for punctured torus groups
L. Keen, C. Series
In this paper we give a complete description of the space $ \QF $ of quasifuchsian punctured torus groups in terms of what we call {\em pleating invariants}. These are natural inva…