论文标题

3个manifolds上的孔锥结构

Holed cone structures on 3-manifolds

论文作者

Yoshida, Ken'ichi

论文摘要

我们在3个manifolds上引入孔锥结构,以概括锥体结构。以与圆锥结构相同的方式,孔锥结构诱导了自动化表示。我们考虑由3个manifold上的霍利锥结构组成的变形空间,其自动化表示不可约。正锥角的这种变形空间是角色品种合理子空间上的覆盖空间。

We introduce holed cone structures on 3-manifolds to generalize cone structures. In the same way as a cone structure, a holed cone structure induces the holonomy representation. We consider the deformation space consisting of the holed cone structures on a 3-manifold whose holonomy representations are irreducible. This deformation space for positive cone angles is a covering space on a reasonable subspace of the character variety.

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