非标记Klein曲面群的奇异模空间
The curious moduli spaces of unmarked Kleinian surface groups
摘要：
固定闭双曲曲面S，定义了一个等价于S的无标记双曲3-流形同伦的模空间AI（S）。这个与S同胚的无标记双曲曲面的模空间M（S）的三维类似物具有奇异的局部拓扑，拥有许多不闭合的点。然而，存在M（S）到AI（S）的自然嵌入和AI（S）的紧化，使得这种嵌入扩展到M（S）的Deligne-Mumford紧化到AI（S）的紧化的嵌入。
英文摘要：
Fixing a closed hyperbolic surface S, we define a moduli space AI(S) of unmarked hyperbolic 3-manifolds homotopy equivalent to S. This 3-dimensional analogue of the moduli space M(S) of unmarked hyperbolic surfaces homeomorphic to S has bizarre local topology, possessing many points that are not closed. There is, however, a natural embedding of M(S) into AI(S) and a compactification of AI(S) such that this embedding extends to an embedding of the Deligne-Mumford compactification of M(S) into the compactification of AI(S).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
