The Johnson homomorphism and the third rational cohorriology group of the Torelli group

被引：10
|
作者：
Sakasai, T [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
来源：
TOPOLOGY AND ITS APPLICATIONS | 2005年 / 148卷 / 1-3期
关键词：
mapping class group; Torelli group; Johnson homomorphism;
D O I：
10.1016/j.topol.2004.08.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the Johnson homomorphism and the representation theory of the symplectic group, we study the third rational cohomology group of the Torelli group, which gives characteristic classes of surface bundles whose holonomy groups act trivially on the homology groups of their fibers. (C) 2004 Elsevier B.V. All rights reserved.
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页码：83 / 111
页数：29
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