论文标题
实际投影歧管中标记的广义尖的模量空间
The Moduli Space of Marked Generalized Cusps in Real Projective Manifolds
论文作者
论文摘要
在本文中，广义尖端是一个正确的凸流歧管，具有严格的凸边界，其差异为$ m \ times [0，\ infty）$，其中$ m $是封闭的欧几里得歧管。这些分类在[2]中。标记的模量空间与$π_1（m）$的共轭类别类别的平均水平的子空间同构。它具有一个描述作为痕量变化的概括，另一个描述涉及与描述半简单谎言组的权重数据相似。这也是欧几里得相似性（同型平坦）结构上$ m $的捆绑包，纤维是立方体差速器空间中的封闭锥体。对于三维定向的广义尖，纤维对固体圆环的锥体是同构的。
In this paper, a generalized cusp is a properly convex manifold with strictly convex boundary that is diffeomorphic to $M \times [0, \infty)$ where $M$ is a closed Euclidean manifold. These are classified in [2]. The marked moduli space is homeomorphic to a subspace of the space of conjugacy classes of representations of $π_1(M)$. It has one description as a generalization of a trace-variety, and another description involving weight data that is similar to that used to describe semi-simple Lie groups. It is also a bundle over the space of Euclidean similarity (conformally flat) structures on $M$, and the fiber is a closed cone in the space of cubic differentials. For 3-dimensional orientable generalized cusps, the fiber is homeomorphic to a cone on a solid torus.
