Chart descriptions of regular braided surfaces
Chart descriptions of regular braided surfaces
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规则编织面的图表说明
DOI：
10.1016/j.topol.2017.08.034
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发表时间：
2017
影响因子：
0.6
通讯作者：
Matumoto Takao
中科院分区：
文献类型：
--
作者：
Kamada Seiichi;Matumoto Takao
辫子曲面是嵌入或浸没在双盘D2×D2中的曲面，它们被投影到双盘的第二因子上，作为分支覆盖映射。一个简单而嵌入的编织表面在两张磁盘上用一张图表来描述，称为图表。我们推广了图的描述方法，这样就可以考虑不一定简单或嵌入的编织面。我们证明了如果一个辫子曲面是正则的，那么它可以用一个称为正则的图来描述，并且这种图是唯一的，直到正则图的移动等价。
Braided surfaces are surfaces embedded or immersed in the bidisk D 2× D 2 which are projected onto the second factor of the bidisk as branched covering maps. A simple and embedded braided surface is described by a graph in the 2-disk, called a chart. We generalize the chart description method so that one can consider braided surfaces which are not necessarily simple or embedded. We show that if a braided surface is regular, then it can be described by a chart called regular, and that such a chart is unique up to regular chart move equivalence.