论文标题
关于四维扣子的音符
A note on the four-dimensional clasp number of knots
论文作者
论文摘要
在带有Coobordism距离1的两个圆环结的连接总和的结中,我们表征了那些至少具有4维扣子数的结合,我们表明他们的N折自相互连接的自我效果至少为2N。我们的证明在拓扑类别中起作用。为了形成鲜明对比的是,我们建立了一个拓扑切结的家族,为N折连接的自我为4球n属N和4维扣扣至少至少为2n。
Among the knots that are the connected sum of two torus knots with cobordism distance 1, we characterize those that have 4-dimensional clasp number at least 2, and we show that their n-fold connected self-sum has 4-dimensional clasp number at least 2n. Our proof works in the topological category. To contrast this, we build a family of topologically slice knots for which the n-fold connected self-sum has 4-ball genus n and 4-dimensional clasp number at least 2n.