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Suciu’s ribbon 2-knots with isomorphic group
Journal of Knot Theory and Its Ramifications ( IF 0.5 ) Pub Date : 2020-05-19 , DOI: 10.1142/s0218216520500534
Taizo Kanenobu 1 , Toshio Sumi 2
Affiliation  

Suciu constructed infinitely many ribbon 2-knots in [Formula: see text] whose knot groups are isomorphic to the trefoil knot group. They are distinguished by the second homotopy groups. We classify these knots by using [Formula: see text]-representations of the fundamental groups of the 2-fold branched covering spaces.

中文翻译:

具有同构群的 Suciu 丝带 2 结

Suciu 在 [公式:见正文] 中构造了无限多个带状 2 结,其结组与三叶结组同构。它们以第二同伦群为特征。我们通过使用[公式:见文本]-表示 2 倍分支覆盖空间的基本组对这些结进行分类。
更新日期:2020-05-19
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