论文标题
有缺陷的群体和角色品种的拓扑结构
Flawed groups and the topology of character varieties
论文作者
论文摘要
如果HOM（F，g）// G变形缩回其子空间HOM（F，K）/K，则称为有缺陷的F组，用于还原性仿射代数G和G。G。中的最大紧凑型亚组K。在讨论了一般产生的组，我们显示了所有有限生成的组，我们显示了所有有限生成的组。这统一并概括了所有以前已知的有缺陷群体的类别。我们还为作者的猜想提供了进一步的证据，即raags（带有扭转）存在缺陷。最后，我们显示有限组之间的直接产品，一些有缺陷的组也存在缺陷。后两个定理扩大了已知的有缺陷群体。
A finitely presented group F is called flawed if Hom(F,G)//G deformation retracts onto its subspace Hom(F,K)/K for reductive affine algebraic groups G and maximal compact subgroups K in G. After discussing generalities concerning flawed groups, we show that all finitely generated groups isomorphic to a free product of nilpotent groups are flawed. This unifies and generalizes all previously known classes of flawed groups. We also provide further evidence for the authors' conjecture that RAAGs (with torsion) are flawed. Lastly, we show direct products between finite groups and some flawed group are also flawed. These latter two theorems enlarge the known class of flawed groups.
