Systoles of hyperbolic hybrids
arXiv:2309.16051 · doi:10.2140/tunis.2025.7.193
Abstract
We exhibit closed hyperbolic manifolds with arbitrarily small systole in each dimension that are not quasi-arithmetic in the sense of Vinberg, and are thus not commensurable to those constructed by Agol, Belolipetsky--Thomson, and Bergeron--Haglund--Wise. This is done by taking hybrids of the manifolds constructed by the latter authors.
5 pages, 1 figure. Comments welcome