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arxiv: math/0406056 · v1 · submitted 2004-06-03 · 🧮 math.GT · math.DG

Thurston's bending measure conjecture for once punctured torus groups

classification 🧮 math.GT math.DG
keywords bendingconjecturegroupsmeasureoncepuncturedthurstontorus
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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 hull boundary uniquely determine the group.

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