Psyquandle计数不变量的循环增强
Cocycle Enhancements of Psyquandle Counting Invariants
摘要：
我们把上循环增强理论应用到心理困惑的案例中。类似于我们以前的工作虚拟biquandle上循环增强，我们定义增强的psyquandle计数不变量通过对一个biquandle 2-上循环和一个新的功能，满足一定的条件。作为应用，我们定义了新的单变量和两个变量的多项式不变量的定向伪结和奇异结和链接。我们提供的例子表明，新的不变量是适当的计数不变量的增强是不是由Jablan多项式。
英文摘要：
We bring cocycle enhancement theory to the case of psyquandles. Analogously to our previous work on virtual biquandle cocycle enhancements, we define enhancements of the psyquandle counting invariant via pairs of a biquandle 2-cocycle and a new function satisfying some conditions. As an application we define new single-variable and two-variable polynomial invariants of oriented pseudoknots and singular knots and links. We provide examples to show that the new invariants are proper enhancements of the counting invariant are are not determined by the Jablan polynomial.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
