曲面的映射类群的初等方法
An elementary approach to the mapping class group of a surface
摘要：
我们考虑一个有向曲面S和S上曲线的胞腔复形X，它们是由Hatcher和Thurston在1980年定义的。我们证明了初等手段，没有Cerf理论，复X是连通和单连通的。从这一点，我们得到一个明确的简单介绍的映射类群的S，以下的思想Hatcher-Thurston和Harer。
英文摘要：
We consider an oriented surface S and a cellular complex X of curves on S, defined by Hatcher and Thurston in 1980. We prove by elementary means, without Cerf theory, that the complex X is connected and simply connected. From this we derive an explicit simple presentation of the mapping class group of S, following the ideas of Hatcher-Thurston and Harer.
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