论文标题
定向posets，等级矩阵和q呈现的马尔可夫号码
Oriented posets, Rank Matrices and q-deformed Markov Numbers
论文作者
论文摘要
我们用correpsond的等级矩阵定义了定向的POSET，其中将两个POSET链接到边缘对应于矩阵乘法。特别是，通过这种方法链接链条为我们提供了围栏的姿势，而采取痕迹为我们提供了圆形的围栏姿势。作为一个应用程序，我们为$ Q $构造的Markov编号提供了组合模型。我们还解决了Leclere和Morier-Genoud的猜想，并在圆形秩多项式之间给出了几个身份。
We define oriented posets with correpsonding rank matrices, where linking two posets by an edge corresponds to matrix multiplication. In particular, linking chains via this method gives us fence posets, and taking traces gives us circular fence posets. As an application, we give a combinatorial model for $q$-deformed Markov numbers. We also resolve a conjecture of Leclere and Morier-Genoud and give several identities between circular rank polynomials.
