论文标题
Morton-Franks-Williams的清晰度不平等，无法进行积极结和链接
Sharpness of the Morton-Franks-Williams inequality for positive knots and links
论文作者
论文摘要
我们提供了正面图的组合表征，满足了莫顿 - 弗兰克斯 - 威廉姆斯与Homfly-pt多项式学位约束的均等。这种表征允许以相对轻松的示例生成图表的相对示例，以实现交叉数，辫子索引和最大的自链数。此外，我们建议对Morton-Franks-Williams不平等的尖锐性进行猜想，以实现牢固的准阳性联系。
We provide a combinatorial characterisation of positive diagrams satisfying the equality in the Morton-Franks-Williams bound for the degrees of the HOMFLY-PT polynomial. This characterisation allows generating with relative ease examples of diagrams realizing the crossing number, the braid index, and the maximal self-linking number. Besides, we suggest a conjecture concerning the sharpness of the Morton-Franks-Williams inequality for strongly quasipositive links.
