Cusp types of quotients of hyperbolic knot complements

Proceedings of the American Mathematical Society, Series B Pub Date : 2020-01-14 DOI:10.1090/bproc/104

Neil R. Hoffman

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引用次数: 2

Abstract

This paper completes a classification of the types of orientable and non-orientable cusps that can arise in the quotients of hyperbolic knot complements. In particular, S 2 ( 2 , 4 , 4 ) S^2(2,4,4) cannot be the cusp cross-section of any orbifold quotient of a hyperbolic knot complement. Furthermore, if a knot complement covers an orbifold with a S 2 ( 2 , 3 , 6 ) S^2(2,3,6) cusp, it also covers an orbifold with a S 2 ( 3 , 3 , 3 ) S^2(3,3,3) cusp. We end with a discussion that shows all cusp types arise in the quotients of link complements.

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双曲结补商的尖型

本文完成了双曲结补商中可定向尖和不可定向尖的分类。特别地，s2 (2,4,4) S^2(2,4,4)不可能是双曲结补的任何轨道商的尖截面。更进一步，如果一个结补覆盖了一个具有s2 (2,3,6) S²(2,3,6)尖的轨道，它也覆盖了一个具有s2 (3,3,3) S²(3,3,3)尖的轨道。我们最后的讨论表明，所有尖音类型出现在连接补语的商。

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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来源期刊

Proceedings of the American Mathematical Society, Series B

CiteScore

1.60

自引率

0.00%

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