We explain how Queffelec–Sartori’s construction of the HOMFLY-PT link polynomial can be interpreted in terms of parabolic Verma modules for \({\mathfrak {gl}_{2n}}\). Lifting the construction to the world of categorification, we use parabolic 2-Verma modules to give a higher representation theory construction of Khovanov–Rozansky’s triply graded link homology.

中文翻译：

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2-Verma模块和Khovanov-Rozansky链接同源性

我们解释了如何用抛物线形Verma模块来解释Queffelec–Sartori对HOMFLY-PT链接多项式的构造\（{\ mathfrak {gl} _ {2n}} \）。为了将构造推向分类世界，我们使用抛物线2-Verma模块为Khovanov-Rozansky的三级渐变链接同源性提供了更高的表示理论构造。