论文标题

Gluck Twisting rol旋转结

Gluck twisting roll spun knots

论文作者

Naylor, Patrick, Schwartz, Hannah

论文摘要

我们表明,对于任何一对整数(m,n)而言,通过旋转任何一个无打结的M-Twist n旋转旋转而获得的平滑同质4球旋转与标准4-Sphere的M-TWIST n-roll旋转均与标准的4-Sphere不同。随之而来的是必然的,无限的扭曲双打的无限级软木塞是标准的。

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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