论文标题
关于某些封闭辫子家族中亚历山大多项式的分布
On the distribution of Alexander polynomials in certain families of closed braids
论文作者
论文摘要
我们研究了某些无限链接家族与亚历山大多项式相关的算术不变性的分布。我们认为的链接家族是由固定数量的字符串上的辫子产生的。我们探讨了与数字理论的类比以及在数量领域的各个家庭中的班级分布,阐明了算术拓扑和算术统计的新方向。
We study the distribution of arithmetic invariants associated to Alexander polynomials for certain infinite families of links. The families of links we consider arise from braids on a fixed number of strings. We explore analogies with number theory and the distribution of class groups in various families of number fields, setting out new directions in arithmetic topology and arithmetic statistics.