Shapes of hyperbolic triangles and once-punctured torus groups

Let \(\Delta\) be a hyperbolic triangle with a fixed area \(\varphi\). We prove that for all but countably many \(\varphi\), generic choices of \(\Delta\) have the property that the group generated by the \(\pi\)--rotations about the midpoints of the sides of the triangle admits no nontrivial relati...

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Veröffentlicht in:	arXiv.org 2021-04
Hauptverfasser:	Sang-hyun, Kim, Koberda, Thomas, Lee, Jaejeong, Ohshika, Ken'ichi, Tan, Ser Peow, with an appendix by Xinghua Gao
Format:	Artikel
Sprache:	eng
Schlagworte:	Toruses Translations Triangles
Online-Zugang:	Volltext
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