The signature of cusped hyperbolic 4-manifolds

Alexander Kolpakov; Stefano Riolo; Steven T. Tschantz

doi:10.1093/imrn/rnac227

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arXiv · 2006.12095

The signature of cusped hyperbolic 4-manifolds

Alexander Kolpakov·Stefano Riolo·Steven T. Tschantz

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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.

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BibTeX RIS

Alexander Kolpakov, Stefano Riolo, Steven T. Tschantz. 2020-06-22. The signature of cusped hyperbolic 4-manifolds. https://doi.org/10.1093/imrn%2Frnac227

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