论文标题
弱积极和定向的Anosov表示
Weakly positive and directed Anosov representations
论文作者
论文摘要
给定有限生成的组$γ$，有向图的$λ$和一个地图$ r：λ\toγ$，我们介绍了$（r，λ）$的概念 - 指示的anosov表示。这是Anosov表示的概念的削弱。我们的主要定理给出了使用Fock-Goncharov阳性构建$（r，λ）$指示的Anosov表示的程序。作为我们的主要定理的应用，我们构建了从$ f_2 $到$ \ mathrm {pgl}（v）$的大型原始稳定表示的大家庭，包括非discrete和非信仰示例。
Given a finitely generated group $Γ$, a directed graph $Λ$, and a map $R:Λ\toΓ$, we introduce the notion of an $(R,Λ)$-directed Anosov representation. This is a weakening of the notion of Anosov representations. Our main theorem gives a procedure to construct $(R,Λ)$-directed Anosov representations using Fock-Goncharov positivity. As an application of our main theorem, we construct large families of primitive stable representations from $F_2$ to $\mathrm{PGL}(V)$, including non-discrete and non-faithful examples.
