On Ramond Decorations

Decorated enhanced Teichmüller spaces

In this paper, we introduce a new variation of the Teichmüller space, namely the deformation space of hyperbolic structures on a surface with both enhancement and decoration. We construct the parameterization of this deformation space, which is a common generalization of the shear coordinates and the $λ$-length coordinates. Furthermore, we introduce the lamination space corresponding to this deformation space, and show the compatibility of the shear coordinates and the $λ$-length coordinates.

过滤屏幕与增广 Teichmüller 空间

Filtered screens and augmented Teichmüller space

研究多穿孔曲面装饰Teichmüller空间的新边界化，基于filtered screens空间确定产生短曲线的充要条件，构造商空间得到装饰增广Teichmüller空间，证明其具有CW分解并由新对象索引分层。