论文标题
人口普查L空间结是辫子阳性的，除了不是
Census L-space knots are braid positive, except for one that is not
论文作者
论文摘要
除了一项不是辫子的人口普查外，我们对辫子的所有L空间结都表现出辫子的呈呈呈呈正状态。 O9_30634的归一化Homfly多项式（如果适当地归一化）不是正呈正的，则未能用于编织正结的ITO条件。 我们将这个结概括为1参数的双曲线L空间结家族，可能不是编织阳性的。然而，正如Teragaito所指出的那样，这个家庭产生了双曲线L空间结的第一个例子，其正式的半群是实际的半群，回答了王的问题。此外，这些结的亚历山大多项式的根源都是统一的根源，反驳了li-ni的猜想。
We exhibit braid positive presentations for all L-space knots in the SnapPy census except one, which is not braid positive. The normalized HOMFLY polynomial of o9_30634, when suitably normalized is not positive, failing a condition of Ito for braid positive knots. We generalize this knot to a 1-parameter family of hyperbolic L-space knots that might not be braid positive. Nevertheless, as pointed out by Teragaito, this family yields the first examples of hyperbolic L-space knots whose formal semigroups are actual semigroups, answering a question of Wang. Furthermore, the roots of the Alexander polynomials of these knots are all roots of unity, disproving a conjecture of Li-Ni.
