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

Alexander Kolpakov, Stefano Riolo, Steven T Tschantz (2023). The Signature of Cusped Hyperbolic 4-Manifolds. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023(9), 7961-7975 [10.1093/imrn/rnac227].

The Signature of Cusped Hyperbolic 4-Manifolds

Stefano Riolo;
2023

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
2023
Alexander Kolpakov, Stefano Riolo, Steven T Tschantz (2023). The Signature of Cusped Hyperbolic 4-Manifolds. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023(9), 7961-7975 [10.1093/imrn/rnac227].
Alexander Kolpakov; Stefano Riolo; Steven T Tschantz
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/925456
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