Trivial cocycles and invariants of homology 3-spheres

被引：5
|
作者：
Pitsch, Wolfgang [1 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Bellaterra, Spain
来源：
ADVANCES IN MATHEMATICS | 2009年 / 220卷 / 01期
关键词：
Torelli group; Casson invariant; Heegaard splitting; Homology spheres; 3-DIMENSIONAL HANDLEBODY; CASSON INVARIANT; SURFACE BUNDLES; TORELLI GROUP; HOMEOMORPHISMS;
D O I：
10.1016/j.aim.2008.09.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the relationship between trivial cocycles on the Torelli group and invariants of oriented integral homology 3-spheres. We apply this study to give a new purely algebraic construction of the Casson invariant. As a by-product we get a new 2-torsion cohomology class in the second integral cohomology of the Torelli group. (c) 2008 Elsevier Inc. All rights reserved.
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页码：278 / 302
页数：25
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