论文标题
打开数字和电缆
Unknotting number and cabling
论文作者
论文摘要
打结数量很难计算，甚至在基本卫星操作下的行为也不理解。我们在截然不同的电缆结中建立了一个较低的电缆结和迭代的电缆结，纯粹是基于图案的绕组数。该证明在打结的浮子同源性中使用了Alishahi-Eftekhary的界限，以及Hanselman-Watson在刺穿的圆环中沉浸式曲线的计算电缆的结式浮子同源性的计算。
The unknotting number of knots is a difficult quantity to compute, and even its behavior under basic satelliting operations is not understood. We establish a lower bound on the unknotting number of cable knots and iterated cable knots purely in terms of the winding number of the pattern. The proof uses Alishahi-Eftekhary's bounds on unknotting number from knot Floer homology together with Hanselman-Watson's computation of the knot Floer homology of cables in terms of immersed curves in the punctured torus.
