# Integrality of volumes of representations

@article{Bucher2021IntegralityOV,
title={Integrality of volumes of representations},
author={Michelle Bucher and M. Burger and A. Iozzi},
journal={Mathematische Annalen},
year={2021}
}
• Published 2 July 2014
• Mathematics
• Mathematische Annalen
<jats:p>Let <jats:italic>M</jats:italic> be an oriented complete hyperbolic <jats:italic>n</jats:italic>-manifold of finite volume. Using the definition of volume of a representation previously given by the authors in [3] we show that the volume of a representation <jats:inline-formula><jats:alternatives><jats:tex-math>$$\rho :\pi _1(M)\rightarrow \mathrm {Isom}^+({{\mathbb {H}}}^n)$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow…
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