Epimorphisms between 2-bridge link groups

Epimorphisms between 2-bridge link groups
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DOI:
10.2140/gtm.2008.14.417
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发表时间:
2009-04
期刊:
arXiv: Geometric Topology
影响因子:
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通讯作者:
T. Ohtsuki;Robert F. Riley;M. Sakuma
T. Ohtsuki;Robert F. Riley;M. Sakuma
中科院分区:
其他
文献类型:
--
作者:
T. Ohtsuki;Robert F. Riley;M. Sakuma

文献摘要

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我们给出了2-桥链群之间满态的系统构造。此外,我们证明了在其环群之间具有这样一个满射的2-桥环通过仅具有某种特定类型的奇点的环境空间之间的映射而相关。我们展示了这些满态在3流形中的2-桥链和1-控制映射的特征簇上的应用。
We give a systematic construction of epimorphisms between 2‐bridge link groups. Moreover, we show that 2‐bridge links having such an epimorphism between their link groups are related by a map between the ambient spaces which only have a certain specific kind of singularity. We show applications of these epimorphisms to the character varieties for 2‐bridge links and 1 ‐dominating maps among 3‐ manifolds.