The Signature of Cusped Hyperbolic 4-Manifolds-Reference-Cited by-同舟云学术

The Signature of Cusped Hyperbolic 4-Manifolds

Published:2022-04-06 Issue:9 Volume:2023 Page:7961-7975
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Kolpakov Alexander¹,Riolo Stefano²,Tschantz Steven T³

Affiliation:

1. Institut de Mathématiques, Université de Neuchâtel , Rue Emile-Argand 11, 2000 Neuchâtel, Suisse/ Switzerland

2. Section de Mathématiques, Université de Genève , Rue du Conseil-Général 7-9, 1205 Genève, Suisse/ Switzerland

3. Department of Mathematics, Vanderbilt University , 1326 Stevenson Center Ln, Nashville, TN 37212, USA

Abstract

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

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/9/7961/50189101/rnac227.pdf

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