论文标题
双曲线L空间结及其正式半群
Hyperbolic L-space knots and their formal semigroups
论文作者
论文摘要
对于L空间结，正式的半群是由Alexander多项式定义的。它不一定是半群。也就是说，它可能不会在加法下关闭。存在一个无限的双曲线L空间结家族，其正式的半群是由三个元素产生的半群。在本文中，我们给出了第一个无限的双曲线L空间结家族，其正式的半群是由五个元素产生的半群。
For an L-space knot, the formal semigroup is defined from its Alexander polynomial. It is not necessarily a semigroup. That is, it may not be closed under addition. There exists an infinite family of hyperbolic L-space knots whose formal semigroups are semigroups generated by three elements. In this paper, we give the first infinite family of hyperbolic L-space knots whose formal semigroups are semigroups generated by five elements.
