COUNTING CUSPED HYPERBOLIC 3-MANIFOLDS THAT BOUND GEOMETRICALLY

被引：2

作者：

Kolpakov, Alexander ^{[1
]}

Riolo, Stefano ^{[1
]}

机构：

[1] Inst Math, Rue Emile Argand 11, CH-2000 Neuchatel, Switzerland

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 373卷 / 01期

基金：

瑞士国家科学基金会;

关键词：

3-manifold; 4-manifold; hyperbolic geometry; cobordism; geometric boundary; POLYHEDRA; MANIFOLDS;

D O I：

10.1090/tran/7883

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：229 / 247

页数：19

共 50 条

[21] THE SPECTRAL THEORY OF GEOMETRICALLY PERIODIC HYPERBOLIC 3-MANIFOLDS
EPSTEIN, CL
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 58 (335) : 1 - 161
[22] Face pairing maps of ford domains for cusped hyperbolic 3-manifolds
Hong, Sungbok
Kim, Jungsoo
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (04) : 1007 - 1025
[23] Cusped Hyperbolic 3-Manifolds of Complexity 10 Having Maximum Volume
Vesnin, A. Yu.
Tarkaev, V. V.
Fominykh, E. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2015, 289 : S227 - S239
[24] Ubiquitous quasi-Fuchsian surfaces in cusped hyperbolic 3-manifolds
Cooper, Daryl
Futer, David
GEOMETRY & TOPOLOGY, 2019, 23 (01) : 241 - 298
[25] THE MINIMAL VOLUME ORIENTABLE HYPERBOLIC 2-CUSPED 3-MANIFOLDS
Agol, Ian
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (10) : 3723 - 3732
[26] Cusped hyperbolic 3-manifolds of complexity 10 having maximum volume
A. Yu. Vesnin
V. V. Tarkaev
E. A. Fominykh
Proceedings of the Steklov Institute of Mathematics, 2015, 289 : 227 - 239
[27] A LOWER BOUND FOR THE VOLUME OF HYPERBOLIC 3-MANIFOLDS
MEYERHOFF, R
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1987, 39 (05): : 1038 - 1056
[28] Lower bound of the spectrum on hyperbolic 3-manifolds
Jammes, Pierre
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2012, 140 (02): : 237 - 255
[29] Higher-dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds
Menal-Ferrer, Pere
Porti, Joan
JOURNAL OF TOPOLOGY, 2014, 7 (01) : 69 - 119
[30] L2-Cohomology of geometrically infinite hyperbolic 3-manifolds
J. Lott
Geometric & Functional Analysis GAFA, 1997, 7 : 81 - 119

← 1 2 3 4 5 →