Surface links with free abelian groups

Inasa Nakamura

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Surface links with free abelian groups

机译：与免费的阿贝尔团体进行表面链接

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摘要

It is known that if a classical link group is a free abelian group, then its rank is at most two. It is also known that a k-component 2-link group (k ＞ 1) is not free abelian. In this paper, we give examples of T~2-links each of whose link groups is a free abelian group of rank three or four. Concerning the T~2-links of rank three, we determine the triple point numbers and we see that their link types are infinitely many.

机译：众所周知，如果经典链接组是自由的阿贝尔群，则其等级最多为2。还已知k分量2链接组（k＞ 1）不是自由阿贝尔群。在本文中，我们给出T〜2链接的示例，每个链接的链接组是第3或第4级的自由阿贝尔群。关于等级3的T〜2链接，我们确定了三点编号，并且我们看到它们的链接类型是无限多种。

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来源
《Journal of the Mathematical Society of Japan》 |2014年第1期|247-256|共10页
作者
Inasa Nakamura;
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作者单位

Institute for Biology and Mathematics of Dynamical Cell Processes (iBMath) Interdisciplinary Center for Mathematical Sciences Graduate School of Mathematical Sciences University of Tokyo 3-8-1 Komaba Tokyo 153-8914, Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
surface link; link group; triple point number;

机译：表面链接链接组;三点数;

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专利

1. On surface links whose link groups are abelian (vol 157, pg 63, 2014) [J] . Ito Tetsuya, Nakamura Inasa Mathematical Proceedings of the Cambridge Philosophical Society . 2015,第Pta1期

机译：在链接组为abelian的曲面链接上（vol 157，pg 63，2014）
2. On surface links whose link groups are abelian [J] . TETSUYA ITO, INASA NAKAMURA Mathematical Proceedings of the Cambridge Philosophical Society . 2014,第1期

机译：在链接组为阿贝尔的曲面链接上
3. Uniqueness of orientation-preserving free actions of finite abelian groups on surfaces [J] . She Yan, Zhao Xuezhi Journal of pure and applied algebra . 2018,第7期

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4. Free Space Optical Link Utilizing a Modulated Retro-Reflector Intended for Planetary Duplex Communication Links between an Orbiter and Surface Unit [C] . Stephanie Booth AIAA SciTech Forun and Exposition . 2020

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5. Splice diagrams. Singularity links and universal abelian covers. [D] . Pedersen, Helge Moller. 2009

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6. Free unlinked glycosylphosphatidylinositols on mammalian cell surfaces revisited [O] . Yicheng Wang, Tetsuya Hirata, Yusuke Maeda, 2019

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7. Surface links with free abelian link groups [O] . Nakamura, Inasa 2012

机译：表面链接与自由阿贝尔链接组

Surface links with free abelian groups

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