Closed incompressible surfaces in the complements of positive knots
Closed incompressible surfaces in the complements of positive knots
复制标题
正结补体中的封闭不可压缩曲面
DOI：
10.1007/s00014-002-8338-y
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发表时间：
2001
影响因子：
0.9
通讯作者：
M. Ozawa
中科院分区：
文献类型：
--
作者：
M. Ozawa
摘要。我们证明了正结补上的任何闭合不可压缩曲面在代数上都与该结不可分离，正结不能约束非自由不可压缩的Seifert曲面，并且正结和连杆的可分裂性和素数可以从它们的正图中看出。
Abstract. We show that any closed incompressible surface in the complement of a positive knot is algebraically non-split from the knot, positive knots cannot bound non-free incompressible Seifert surfaces and that the splittability and the primeness of positive knots and links can be seen from their positive diagrams.