The Jones–Krushkal polynomial and minimal diagrams of surface links
The Jones–Krushkal polynomial and minimal diagrams of surface links
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Jones-Krushkal 多项式和表面链接的最小图
DOI：
10.5802/aif.3516
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
H. Karimi
中科院分区：
文献类型：
--
作者：
H. Boden;H. Karimi
我们证明了一个Kauffman-Murasugi-Thistlethwaite定理交替链接加厚的表面。它指出在加厚曲面上的链环的任一约化交错图具有最小交叉数，且同一链环的任一两个约化交错图具有相同的交叉数。对于足够的链接图，该结果得到了更普遍的证明，并且该证明涉及Krushkal定义的表面链接的琼斯多项式的两变量推广。主要的结果是用来建立第一和第二泰特拓扑的链接在加厚的表面和虚拟链接。
We prove a Kauffman-Murasugi-Thistlethwaite theorem for alternating links in thickened surfaces. It states that any reduced alternating diagram of a link in a thickened surface has minimal crossing number, and any two reduced alternating diagrams of the same link have the same writhe. This result is proved more generally for link diagrams that are adequate, and the proof involves a two-variable generalization of the Jones polynomial for surface links defined by Krushkal. The main result is used to establish the first and second Tait conjectures for links in thickened surfaces and for virtual links.
加厚表面链接的双曲性
影响因子：
0.6
作者：
Adams, C.;Albors-Riera, C.;Haddock, B.;Li, Z.;Nishida, D.;Reinoso, B.;Wang, L.
通讯作者：
Wang, L.