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arxiv: math/0406407 · v1 · submitted 2004-06-21 · 🧮 math.GT · math.NT

Transcendental ending laminations

classification 🧮 math.GT math.NT
keywords endinglaminationspuncturedtorustranscendentalchoiceclassifiedgroup
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Yair Minsky showed that punctured torus groups are classified by a pair of ending laminations (\nu_-,\nu_+). In this note, we show that there are ending laminations \nu_+ such that for any choice of \nu_-, the punctured torus group is transcendental as a subgroup of PSL_2 C.

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