We study how some coefficients of two-variable coboundary polynomials can be derived from Betti numbers of Stanley–Reisner rings. We also explain how the connection with these Stanley–Reisner rings forces the coefficients of the two-variable coboundary polynomials and Möbius polynomials to satisfy certain universal equations.

中文翻译：

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拟阵的莫比乌斯和共边界多项式

我们研究了如何从 Stanley-Reisner 环的 Betti 数中导出二变量共边界多项式的一些系数。我们还解释了与这些 Stanley-Reisner 环的联系如何迫使二变量共边界多项式和莫比乌斯多项式的系数满足某些通用方程。