论文标题
精制加泰罗尼亚和纳拉亚纳循环筛
Refined Catalan and Narayana cyclic sieving
论文作者
论文摘要
我们证明了在A型和B型的加泰罗尼亚对象上的循环筛分现象（CSP）的几个新实例。此外，我们完善了CSP上的许多已知实例。例如，我们考虑通过“耳朵”的数量，具有固定数量短边的非交叉匹配以及具有固定数量的循环和边缘的非交叉配置。
We prove several new instances of the cyclic sieving phenomenon (CSP) on Catalan objects of type A and type B. Moreover, we refine many of the known instances of the CSP on Catalan objects. For example, we consider triangulations refined by the number of "ears", non-crossing matchings with a fixed number of short edges, and non-crossing configurations with a fixed number of loops and edges.
