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

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