Face Rings of Cycles, Associahedra, and Standard Young Tableaux

Electronic Journal Of Combinatorics

Anton Dochtermann¹ 

关键词: Stanley-Reisner ideals;    Edge ideals;    Free resolutions;    Betti numbers;    Standard Young tableaux;    Associahedra;    Discrete Morse theory;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

We show that $J_n$, the Stanley-Reisner ideal of the $n$-cycle, has a free resolution supported on the $(n-3)$-dimensional simplicial associahedron $A_n$. This resolution is not minimal for $n \geq 6$; in this case the Betti numbers of $J_n$ are strictly

【 授权许可】

Others