A uniformizable spherical CR structure on a two-cusped hyperbolic 3-manifold

被引：3

作者：

Jiang, Yueping ^{[1
]}

Wang, Jieyan ^{[1
]}

Xie, Baohua ^{[1
]}

机构：

[1] Hunan Univ, Sch Math, Changsha, Peoples R China

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2023年 / 23卷 / 09期

关键词：

FIGURE; 8; KNOT; COMPLEMENT;

D O I：

10.2140/agt.2023.23.4143

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let < I-1, I-2, I-3 > be the complex hyperbolic (4, 4, infinity) triangle group. We prove Schwartz's conjecture that < I-1, I-2, I-3 > is discrete and faithful if and only if I-1 I-3 I-2 I-3 is nonelliptic. If I-1 I-3 I-2 I-3 is parabolic, we show that the even subgroup < I-2 I-3, I2I1 > i is the holonomy representation of a uniformizable spherical CR structure on the two-cusped hyperbolic 3-manifold s782 in SnapPy notation.

引用

页码：4143 / 4184

页数：43

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