Abstract
The purpose of the present paper is to prove existence of super-exponentially many compact orientable hyperbolic arithmetic n-manifolds that are geometric boundaries of compact orientable hyperbolic (n+1)-manifolds, for any n 2, thereby establishing that these classes of manifolds have the same growth rate with respect to volume as all compact orientable hyperbolic arithmetic n-manifolds. An analogous result holds for non-compact orientable hyperbolic arithmetic n-manifolds of finite volume that are geometric boundaries for n 2.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2460-2483 |
| Number of pages | 24 |
| Journal | International Mathematics Research Notices |
| Volume | 2022 |
| Issue number | 4 |
| DOIs | |
| State | Published - Feb 1 2022 |
| Externally published | Yes |
Bibliographical note
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