A four-dimensional analogy of torus links

Susumu Hirose

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A four-dimensional analogy of torus links

机译：环面链接的四维类比

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摘要

A link (disjoint simple closed curves in S~3) is a torus link if it is on the boundary of regular neighborhood of the trivial knot. The aim of this paper is to define a class of knotted surfaces (possibly disconnected) which is an analogy of torus links, and to introduce their normal form.

机译：链接（在S〜3中不相交的简单闭合曲线）如果位于平凡结的规则邻域的边界上，则为圆环链接。本文的目的是定义一类打结的曲面（可能是断开的），它类似于圆环链接，并介绍其正常形式。

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来源
《Topology and its applications》 |2003年第3期|p.199-207|共9页
作者
Susumu Hirose;
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作者单位

Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga 840-8502, Japan;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
knotted surface; torus knot; mapping class group;

机译：打结的表面;托勒斯结;映射类组;

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1. The evolution of a novel four-dimensional autonomous system: Among 3-torus, limit cycle, 2-torus, chaos and hyperchaos [J] . Wenjuan Wu, Zengqiang Chen, Zhuzhi Yuan Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2009,第5期

机译：新颖的四维自治系统的演变：在3-torus，极限环，2-torus，混沌和超混沌之中
2. Four-dimensional manifolds constructed by lens space surgeries along torus knots [J] . Tange M., Yamada Y. Journal of knot theory and its ramifications . 2012,第11期

机译：镜片空间手术沿着环结构造的四维流形
3. Chaos via torus breakdown from a four-dimensional autonomous oscillator with two diodes [J] . Inaba N., Nishio Y., Endo T. Physica, D. Nonlinear phenomena . 2011,第11期

机译：具有两个二极管的四元自治振荡器在圆环击穿时产生的混沌
4. On torus topologies with random extra links [C] . Kovacevic, M. . 1996

机译：具有随机额外链接的环面拓扑
5. Four-dimensional intersection numbers of knots and links in 3-manifolds. [D] . Schneiderman, Robert Roland. 2001

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6. Is the Link from Working Memory to Analogy Causal? No Analogy Improvements following Working Memory Training Gains [O] . J. Elizabeth Richey, Jeffrey S. Phillips, Christian D. Schunn, -1

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7. A four-dimensional analogy of torus links [O] . Hirose Susumu 2003

机译：环面链接的四维类比
8. Automatic Path-Planning for a Multilink Articulated Boom within the Torus of a Fusion Reactor [R] . Smidt, D. 1986

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A four-dimensional analogy of torus links

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