Whitehead链补的所有Dehn填充都是四面体流形

IF 0.4 Q4 MATHEMATICS

International Electronic Journal of Geometry Pub Date : 2022-10-30 DOI:10.36890/iejg.1102753

A. Cavicchioli, F. Spaggiari

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引用次数: 0

摘要

在本文中，我们证明了Whitehead链的定向分量上的Dehn运算产生Heegaard亏格$\le2$的四面体流形。因此，八个齐次Thurston 3-几何是由Heegaard亏格$\le2$的四面体流形实现的。该证明基于组合群论的技术，以及流形基本群的几何表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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All Dehn Fillings of the Whitehead Link Complement are Tetrahedron Manifolds

In this paper we show that Dehn surgeries on the oriented components of the Whitehead link yield tetrahedron manifolds of Heegaard genus $\le 2$. As a consequence, the eight homogeneous Thurston 3-geometries are realized by tetrahedron manifolds of Heegaard genus $\le 2$. The proof is based on techniques of Combinatorial Group Theory, and geometric presentations of manifold fundamental groups.

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来源期刊

International Electronic Journal of Geometry MATHEMATICS-

CiteScore

0.80

自引率

14.30%

发文量