On Z2-Thurston norms and pseudo-horizontal surfaces in orientable Seifert 3-manifolds

被引：0

作者：

Du, Xiaoming ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China

来源：

TOPOLOGY AND ITS APPLICATIONS | 2022年 / 312卷

关键词：

Seifert manifold; Geometric incompressible surface; Pseudo-horizontal surface; Z(2)-Thurston norm; Minimal genus; NONORIENTABLE SURFACES;

D O I：

10.1016/j.topol.2022.108060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe a general method to compute the Z(2)-Thurston norm for every Z(2) homology class in an orientable Seifert manifold with orientable orbit surface. Our main tools are pseudo-horizontal surfaces. We give a necessary and sufficient criterion for the existence of pseudo-horizontal surfaces, calculate the non-orientable genera for such surfaces, and detect their Z(2)-homology classes. We then describe an algorithm to calculate the Z(2)-Thurston norm of each Z(2)-homology classes. We also present several interesting examples. (c) 2022 Elsevier B.V. All rights reserved.

引用

页数：17