Cusps and Commensurability Classes of Hyperbolic 4-Manifolds
Geometric Topology
2023-11-15 v2
Abstract
There are six orientable, compact, flat 3-manifolds that can occur as cusp cross-sections of hyperbolic 4-manifolds. This paper provides criteria for exactly when a given commensurability class of arithmetic hyperbolic 4-manifolds contains a representative with a given cusp type. In particular, for three of the six cusp types, we provide infinitely many examples of commensurability classes that contain no manifolds with cusps of the given type; no such examples were previously known for any cusp type.
Cite
@article{arxiv.2109.12172,
title = {Cusps and Commensurability Classes of Hyperbolic 4-Manifolds},
author = {Connor Sell},
journal= {arXiv preprint arXiv:2109.12172},
year = {2023}
}
Comments
24 pages, 6 figures. Clarified some definitions and theorem statements