Links and spines
Links and spines
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链接和脊柱
DOI：
10.1142/s0218216511009674
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Yuya Koda
中科院分区：
文献类型：
--
作者：
Hiroshi Goda;Takuya Sakasai;新國亮;新國亮(発表者);Takuya Sakasai;Yuya Koda
通过考虑闭可定向三维流形中的链的刺分解，定义了闭三维流形中链的两种不变量：-复杂度（s ∈ N）和块数.第一个是Pervova和Petronio定义的链路复杂性的推广。在给出这些不变量的性质后，我们在透镜空间中构造了分支于广义扭结上的强循环覆盖的特殊样条，包括S3和SP3，它们给出了这些不变量的上界.
We define two kinds of invariants of links in closed 3-manifolds, thes-complexity(s ∈ ℕ) and theblock number, by considering decompositions of links in closed orientable 3-manifolds by spines. The first one is a generalization of thecomplexityof links defined by Pervova and Petronio. After providing properties of these invariants, we construct special spines of strongly-cyclic coverings branched over generalized twist knots in lens spaces, including S3and ℝP3, which provide upper bounds for the invariants.