SURFACES IN R4 OF BRAID INDEX THREE ARE RIBBON

SURFACES IN R4 OF BRAID INDEX THREE ARE RIBBON
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编织索引三的 R4 中的表面是带状

DOI:
10.1142/s0218216592000082
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发表时间:
1992
影响因子:
0.5
通讯作者:
S. Kamada
S. Kamada
中科院分区:
数学4区
文献类型:
--
作者:
S. Kamada

文献摘要

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将嵌入R4中的任何封闭定向曲面描述为封闭二维编织,并定义其编织指标。通过在2盘上用图描述二维辫子的方法研究了二维辫子,证明了R4中的辫子索引两个面是解结的,辫子索引三个面是带状的。
Any closed oriented surface embedded in R4 is described as a closed 2-dimensional braid and its braid index is defined. We study 2-dimensional braids through a method to describe them using graphs on a 2-disk and show that braid index two surfaces in R4 are unknotted and braid index three surfaces are ribbon.