Boundary slopes of non-orientable Seifert surfaces for knots
Boundary slopes of non-orientable Seifert surfaces for knots
复制标题
结的不可定向 Seifert 曲面的边界斜率
DOI：
10.1016/s0166-8641(01)00188-2
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发表时间：
2002
影响因子：
0.6
通讯作者：
M. Teragaito
中科院分区：
文献类型：
--
作者：
K. Ichihara;Masahiro Ohtouge;M. Teragaito
我们研究了不可定向的塞弗特曲面的3球节点，并检查其边界斜率。特别地，证明了对于一个二阶横截纽结，最多有两个斜率可以作为其极小亏格不可定向Seifert曲面的边界斜率，并给出了具有两个斜率的纽结的无限族.此外，我们还讨论了纽结的本质不可定向Seifert曲面的存在性。
We study non-orientable Seifert surfaces for knots in the 3-sphere, and examine their boundary slopes. In particular, it is shown that for a crosscap number two knot, there are at most two slopes which can be the boundary slope of its minimal genus non-orientable Seifert surface, and an infinite family of knots with two such slopes will be described. Also, we discuss the existence of essential non-orientable Seifert surfaces for knots.