Transcendental ending laminations

Transcendental ending laminations

Ian Agol
arXiv 2004
19
agol2004transcendental

Abstract

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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