Linear slices close to a Maskit slice
Linear slices close to a Maskit slice
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接近 Maskit 切片的线性切片
DOI：
10.1007/s10711-013-9901-y
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Kentaro Ito
中科院分区：
文献类型：
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作者：
Dai Tamaki;Dai Tamaki;玉木 大;Dai Tamaki;Dai Tamaki;Dai Tamaki;Dai Tamaki;Dai Tamaki;Dai Tamaki;Dai Tamaki;Dai Tamaki;M. Fujii;Dai Tamaki;Michihiko Fujii;Dai Tamaki;M. Fujii and Takao Satoh;Dai Tamaki;Dai Tamaki;Dai Tamaki;Takao Satoh;玉木 大;Kentaro Ito
我们考虑Kleinian一次穿孔环面群的空间的线性切片;通过固定其中一个生成元的迹的值来获得线性切片。迹线2的线性切片称为Maskit切片。我们将表明，如果迹线收敛“horocyclically "2然后相关的线性切片收敛到Maskit切片，而如果迹线收敛”切向“2的线性切片收敛到一个适当的子集的Maskit切片。这一结果也将在复杂的Fenchel-Nielsen坐标方面改写。此外，我们将证明存在一个非局部连通的线性切片。
We consider linear slices of the space of Kleinian once-punctured torus groups; a linear slice is obtained by fixing the value of the trace of one of the generators. The linear slice for trace 2 is called the Maskit slice. We will show that if traces converge ‘horocyclically’ to 2 then associated linear slices converge to the Maskit slice, whereas if the traces converge ‘tangentially’ to 2 the linear slices converge to a proper subset of the Maskit slice. This result will be also rephrased in terms of complex Fenchel–Nielsen coordinates. In addition, we will show that there is a linear slice which is not locally connected.