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Thurston boundary of Teichmüller spaces and the commensurability modular group

Thurston boundary of Teichmüller spaces and the commensurability modular group

If <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p colon upper Y right-arrow upper X"> <mml:semantics> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>:</mml:mo> <mml:mi>Y</mml:mi> <mml:mo stretchy="false">→<!-- → --></mml:mo> <mml:mi>X</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">p : Y \rightarrow X</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is an unramified covering map between two compact oriented surfaces of genus at least two, then it is …