论文标题
扭曲的HOPF链接的表示形式
Representation varieties of twisted Hopf links
论文作者
论文摘要
我们研究了与n个曲折的HOPF链接的基本组的代表理论。描述了一个一般框架来分析这些扭曲的HOPF链接的$ sl_r(c)$ - 表示组合问题的副产品和近似霍奇理论的副产品。随着应用,对于表示和角色品种,为等级2和3提供了其电子多项式的密切公式。
We study the representation theory of the fundamental group of the complement of a Hopf link with n twists. A general framework is described to analyze the $SL_r(C)$-representation varieties of these twisted Hopf links as byproduct of a combinatorial problem and equivariant Hodge theory. As application, close formulas of their E-polynomials are provided for ranks 2 and 3, both for the representation and character varieties.