曲面群的双曲图
Hyperbolic Graphs of Surface Groups
摘要：
本文给出了曲面正则图的基本群是双曲的一个充分条件。曲面的正则图是通过沿着边曲面切割一个固定的曲面图，然后利用边曲面的伪Anosov同胚进行正则化而构造的。通过仔细选择正则同胚，我们构造了这样一个曲面正则图的例子，它的基本群不抽象地与任何曲面乘自由群相称，即，这是不同于所有的例子中给出的Mosher的文件“双曲双曲群”。
英文摘要：
We give a sufficient condition under which the fundamental group of a reglued graph of surfaces is hyperbolic. A reglued graph of surfaces is constructed by cutting a fixed graph of surfaces along the edge surfaces, then regluing by pseudo-Anosov homeomorphisms of the edge surfaces. By carefully choosing the regluing homeomorphism, we construct an example of such a reglued graph of surfaces, whose fundamental group is not abstractly commensurate to any surface-by-free group, i.e., which is different from all the examples given in Mosher's paper 'A hyperbolic-by-hyperbolic hyperbolic group'.
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