A note on the integrality of volumes of representations

Sungwoon Kim

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arXiv · 2209.01692

A note on the integrality of volumes of representations

Sungwoon Kim

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Abstract

Let $Γ$ be a torsion-free, non-uniform lattice in $\mathrm{SO}(2n,1)$. We present an elementary, combinatorial-geometrical proof of a theorem of Bucher, Burger, and Iozzi which states that the volume of a representation $ρ:Γ\to\mathrm{SO}(2n,1)$, properly normalized, is an integer if $n$ is greater than or equal to $2$.

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BibTeX RIS

Sungwoon Kim. 2022-09-04. A note on the integrality of volumes of representations. https://arxiv.org/abs/2209.01692

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