格拉克扭辊纺纱结

IF 0.6 3区数学 Q3 MATHEMATICS Algebraic and Geometric Topology Pub Date : 2020-09-12 DOI:10.2140/agt.2022.22.973

Patrick Naylor, Hannah R. Schwartz

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引用次数: 5

摘要

证明了对于任意整数对(m,n)，通过Gluck扭转任意未打结的1号结的m-捻n-滚自旋得到的光滑同伦4球与标准4球是微分同态的。作为一个推论，贡普夫的无限阶软木塞的扭曲双重的无限集合是标准的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Gluck twisting roll spun knots

We show that the smooth homotopy 4-sphere obtained by Gluck twisting the m-twist n-roll spin of any unknotting number one knot is diffeomorphic to the standard 4-sphere, for any pair of integers (m,n). It follows as a corollary that an infinite collection of twisted doubles of Gompf's infinite order corks are standard.

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