Involutions of hyperbolic spatial graph exteriors whose fixed point sets are closed surfaces
Involutions of hyperbolic spatial graph exteriors whose fixed point sets are closed surfaces
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其不动点集为闭曲面的双曲空间图外部的对合
DOI：
10.1142/s0218216518500049
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发表时间：
2018
影响因子：
0.5
通讯作者：
Toru Ikeda
中科院分区：
文献类型：
--
作者：
T. Kadokami;N. Maruyama;T. Sakai;N. Maruyama;円山 憲子;Toru Ikeda
A-分支不可分空间图在其外部不动点集是亏格的闭曲面上的光滑对合是不可能的。众所周知，iF是中的一个图形链接。本文考虑闭可定向3-流形中的双曲空间图。我们首先研究了3-球面的情形，并给出了一种构造和的方法，其中有欧拉特征。接下来，我们研究关于Heegaard分裂和Dehn手术的闭可定向3-流形的情形。
A-component non-splittable spatial graphinpossibly admits a smooth involution on its exterior whose fixed point set is a closed surfaceof genus. It is known thatholds ifis a graph link in. In this paper, we considerto be a hyperbolic spatial graph in a closed orientable 3-manifold. We first study the case whereis the 3-sphere, and provide a method for constructingandwith, whereis the Euler characteristic offor. Next, we study the case whereis a closed orientable 3-manifold in relation to Heegaard splittings and Dehn surgeries.