The Moduli Space of Points in the Boundary of Quaternionic Hyperbolic Space

Gaoshun Gou, Yueping Jiang

Let ${\mathcal{F}}_1(n,m)$ be the space of ordered m-tuples of pairwise distinct points in $\partial {\mathbf{H}}_{\mathbb{H}}^n$ up to its isometry group $PSp(n,1)$. It is a real $2m^…