The signature of cusped hyperbolic 4-manifolds
Geometric Topology
2023-05-16 v4
Abstract
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic 4-manifold of finite volume, and give some partial results on the geography of such manifolds. The main ingredients are a theorem of Long and Reid, and the explicit construction of a hyperbolic 24-cell manifold with some special topological properties.
Cite
@article{arxiv.2006.12095,
title = {The signature of cusped hyperbolic 4-manifolds},
author = {Alexander Kolpakov and Stefano Riolo and Steven T. Tschantz},
journal= {arXiv preprint arXiv:2006.12095},
year = {2023}
}
Comments
13 pages, 4 figures, 7 tables To appear in Int. Math. Res. Notices (minor changes wrt the previous version)