论文标题
两种和三孔的表示形式和性格品种的尺寸
Dimension of representation and character varieties for two and three-orbifolds
论文作者
论文摘要
我们考虑了半密布谎言组中2和3维轨道的各种形式和特征，我们专注于计算它们的维度。对于双曲线3-孔，我们考虑包含与主要表示形式组成的整体的各种字符的组成部分，我们表明其尺寸等于边界各个字符的多样性的一半。我们还表明，这是通用组件尺寸的下限。我们还提供了计算2个孔子（包括Hitchin组件）的字符品种的尺寸的工具。我们将此计算应用于SL（N，C）中一些三维流形的特征的品种的尺寸增长。
We consider varieties of representations and characters of 2 and 3-dimensional orbifolds in semisimple Lie groups, and we focus on computing their dimension. For hyperbolic 3-orbifolds, we consider the component of the variety of characters that contains the holonomy composed with the principal representation, we show that its dimension equals half the dimension of the variety of characters of the boundary. We also show that this is a lower bound for the dimension of generic components. We furthermore provide tools for computing dimensions of varieties of characters of 2-orbifolds, including the Hitchin component. We apply this computation to the dimension growth of varieties of characters of some 3-dimensional manifolds in SL(n,C).
