A note on the integrality of volumes of representations
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY(2022)
Abstract
Let $\Gamma$ 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 $\rho:\Gamma\to\mathrm{SO}(2n,1)$, properly normalized, is an integer if $n$ is greater than or equal to $2$.
MoreTranslated text
Key words
representations,volumes,integrality
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined