Counting cusped hyperbolic 3-manifolds that bound geometrically-Reference-Cited by-同舟云学术

Counting cusped hyperbolic 3-manifolds that bound geometrically

Published:2019-08-01 Issue:1 Volume:373 Page:229-247
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Kolpakov Alexander,Riolo Stefano

Abstract

We show that the number of isometry classes of cusped hyperbolic 3 3 -manifolds that bound geometrically grows at least super-exponentially with their volume, both in the arithmetic and non-arithmetic settings.

Funder

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2020-373-01/S0002-9947-2019-07883-2/tran7883_AM.pdf

Reference38 articles.

1. Noncompact hyperbolic 3-orbifolds of small volume;Adams, Colin C.,1992

2. Convex polyhedra in Lobačevskiĭ spaces;Andreev, E. M.;Mat. Sb. (N.S.),1970

3. Convex polyhedra of finite volume in Lobačevskiĭ space;Andreev, E. M.;Mat. Sb. (N.S.),1970

4. Counting arithmetic lattices and surfaces;Belolipetsky, Mikhail;Ann. of Math. (2),2010

5. The asymptotic number of unlabelled regular graphs;Bollobás, Béla;J. London Math. Soc. (2),1982

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2. Counting cusped hyperbolic 3-manifolds that bound geometrically;Transactions of the American Mathematical Society;2019-08-01