We give a purely combinatorial formula for evaluating closed, decorated foams. Our evaluation gives an integral polynomial and is directly connected to an integral, equivariant version of colored Khovanov–Rozansky link homology categorifying the $\mathfrak {sl}_N$ link polynomial. We also provide connections to the equivariant cohomology rings of partial flag varieties.

中文翻译：

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评估泡沫的封闭公式

我们提供了一个纯粹的组合公式来评估封闭的装饰泡沫。我们的评估给出了一个整数多项式，并且直接与对$ \ mathfrak {sl} _N $链接多项式进行分类的有色Khovanov–Rozansky链接同源性的积分等变版本直接相连。我们还提供了与部分标志品种的等变同调环的连接。