Many cusped hyperbolic 3-manifolds do not bound geometrically-Reference-Cited by-同舟云学术

Many cusped hyperbolic 3-manifolds do not bound geometrically

Published:2020-01-28 Issue:5 Volume:148 Page:2233-2243
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kolpakov Alexander,Reid Alan,Riolo Stefano

Abstract

In this note we show that there exist cusped hyperbolic 3 3 -manifolds that embed geodesically but cannot bound geometrically. Thus, being a geometric boundary is a non-trivial property for such manifolds. Our result complements the work by Long and Reid on geometric boundaries of compact hyperbolic 4 4 -manifolds and by Kolpakov, Reid, and Slavich on embedding arithmetic hyperbolic manifolds.

Funder

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2020-148-05/S0002-9939-2020-14573-X/proc14573_AM.pdf

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