Homology groups of symmetric quandles and cocycle invariants of links and surface-links
Homology groups of symmetric quandles and cocycle invariants of links and surface-links
复制标题
对称四字形的同调群以及链接和表面链接的余循环不变量
DOI：
10.1090/s0002-9947-2010-05131-1
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Seiichi Kamada and Kanako Oshiro
中科院分区：
文献类型：
--
作者：
Nakano;F.;Sadahiro;T;若槻聡;Seiichi Kamada and Kanako Oshiro
引入了具有好对合的quandle及其同调群的概念。Carter等人定义了定向链和定向面链的quandle上循环不变量。通过使用好的对合，quandle cocyle不变量可以被定义为不一定定向或可定向的链接和表面链接。这些不变量可以用来估计不可定向曲面链环的最小三重点数。引用
We introduce the notion of a quandle with a good involution and its homology groups. Carter et al. defined quandle cocycle invariants for oriented links and oriented surface-links. By use of good involutions, quandle cocyle invariants can be defined for links and surface-links which are not necessarily oriented or orientable. The invariants can be used in order to estimate the minimal triple point numbers of non-orientable surface-links. References