The second homology groups of mapping class groups of orientable surfaces
The second homology groups of mapping class groups of orientable surfaces
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可定向曲面映射类群的第二同调群
DOI：
10.1017/s0305004102006461
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发表时间：
2003
影响因子：
0.8
通讯作者：
A. Stipsicz
中科院分区：
文献类型：
--
作者：
Mustafa Korkmaz;A. Stipsicz
设$\Sigma_{g，r}^n$是亏格为g$的连通可定向曲面，具有$r$边界分支和$n$穿孔，$\Gamma_{g，r}^n$表示$\Sigma_{g，r}^n$的映射类群，即$\Sigma_{g，r}^n$的保向同胚在边界上和穿孔上是恒等式的同胚类的群。在这里，我们看到表面上的穿孔作为区别点。要求同位素在边界上和穿孔上是同一的。如果$r$和/或$n$是零，那么我们从符号中省略它。
Let $\Sigma_{g,r}^n$ be a connected orientable surface of genus $g$ with $r$ boundary components and $n$ punctures and let $\Gamma_{g,r}^n$ denote the mapping class group of $\Sigma_{g,r}^n$, namely the group of isotopy classes of orientation-preserving diffeomorphisms of $\Sigma_{g,r}^n$ which are the identity on the boundary and on the punctures. Here, we see the punctures on the surface as distinguished points. The isotopies are required to be the identity on the boundary and on the punctures. If $r$ and/or $n$ is zero, then we omit it from the notation.