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.

引用

页码：278 / 302

页数：25