论文标题
$ sl_4 $的动机 - 特色的圆环结
Motive of the $SL_4$-character variety of torus knots
论文作者
论文摘要
在本文中，对于任何代数封闭的nivebrabraially offerage of sl_4（k）$，对于任何代数封闭的零特征的$ k $ k $零特性的符号，我们计算了一个任意圆环结的基本组的性格各种表现的动机。为此，我们根据任何表示形式所附加的规范过滤的类型介绍了多样性的分层。这使我们能够将动机的计算减少到组合问题。
In this paper, we compute the motive of the character variety of representations of the fundamental group of the complement of an arbitrary torus knot into $SL_4(k)$, for any algebraically closed field $k$ of zero characteristic. For that purpose, we introduce a stratification of the variety in terms of the type of a canonical filtration attached to any representation. This allows us to reduce the computation of the motive to a combinatorial problem.
