The second homology group of the mapping class group of an orientable surface
The second homology group of the mapping class group of an orientable surface
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DOI：
10.1007/bf01389321
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发表时间：
1983-06
影响因子：
3.1
通讯作者：
J. Harer
中科院分区：
文献类型：
--
作者：
J. Harer
设F是亏格为g的有向曲面，具有r个边界分支和n个特征点.映射类群F= F（F）是7 ro（Diff+ F），其中Diff §是F的保向同态的拓扑群，它固定n个点并限制于~ F上的恒等式.已知[9]，当g> 3时，Hx（F）= 0。在本文中，我们将证明
Let F be an oriented surface of genus g with r boundary components and n distinguished points. The mapping class group F= F (F) is 7ro (Diff+ F) where Diff § is the topological group of orientation preserving diffeomorphisms of F which fix the n points and restrict to the identity on~ F. It is known [9] that Hx (F)= 0 for g> 3. In this paper we shall prove the