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- Title
The Signature of Cusped Hyperbolic 4-Manifolds.
- Authors
Kolpakov, Alexander; Riolo, Stefano; Tschantz, Steven T
- 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. Few things are harder to put up with than the annoyance of a good example.– Mark Twain
- Subjects
TWAIN, Mark, 1835-1910; TOPOLOGICAL property; DISCONTENT; INTEGERS; HYPERBOLIC groups
- Publication
IMRN: International Mathematics Research Notices, 2023, Vol 2023, Issue 9, p7961
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnac227