当前位置: X-MOL 学术Topol. Appl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Ribbonness of a stable-ribbon surface-link, I. A stably trivial surface-link
Topology and its Applications ( IF 0.6 ) Pub Date : 2020-12-01 , DOI: 10.1016/j.topol.2020.107522
Akio Kawauchi

There is a question asking whether a handle-irreducible summand of every stable-ribbon surface-link is a unique ribbon surface-link. This question for the case of a trivial surface-link is affirmatively answered. That is, a handle-irreducible summand of every stably trivial surface-link is only a trivial 2-link. By combining this result with an old result of F. Hosowaka and the author that every surface-knot with infinite cyclic fundamental group is a stably trivial surface-knot, it is concluded that every surface-knot with infinite cyclic fundamental group is a trivial (i.e., an unknotted) surface-knot.

中文翻译:

稳定带状表面链接的带状性,I. 稳定的平凡表面链接

有一个问题询问每个稳定带状表面链接的句柄不可约被加数是否是唯一的带状表面链接。对于微不足道的表面链接的情况,这个问题得到了肯定的回答。也就是说,每个稳定平凡表面链接的句柄不可约被加数只是一个平凡的 2-链接。将此结果与 F. Hosowaka 和作者的旧结果相结合,每个具有无限循环基本群的表面结都是一个稳定平凡的表面结,得出结论,每个具有无限循环基本群的表面结都是平凡的(即,未打结的)表面结。
更新日期:2020-12-01
down
wechat
bug