Infinitely many arithmetic hyperbolic rational homology 3–spheres that bound geometrically-Reference-Cited by-同舟云学术

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Infinitely many arithmetic hyperbolic rational homology 3–spheres that bound geometrically

Published:2022-11-09 Issue:3 Volume:376 Page:1979-1997
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Ferrari L.,Kolpakov A.,Reid A.

Abstract

In this paper we provide the first examples of arithmetic hyperbolic 3 3 –manifolds that are rational homology spheres and bound geometrically either compact or cusped hyperbolic 4 4 –manifolds.

Funder

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2023-376-03/S0002-9947-2022-08816-4/tran8816_AM.pdf

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3. Groups of automorphisms of unimodular hyperbolic quadratic forms over the ring 𝑍[(√5+1)/2];Bugaenko, V. O.;Vestnik Moskov. Univ. Ser. I Mat. Mekh.,1984

4. Automorphic forms and rational homology 3-spheres;Calegari, Frank;Geom. Topol.,2006

5. The arithmetic hyperbolic 3-manifold of smallest volume;Chinburg, Ted;Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4),2001

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