LINEAR INDEPENDENCE IN THE RATIONAL HOMOLOGY COBORDISM GROUP

被引：3

作者：

Golla, Marco ^{[1
]}

Larson, Kyle ^{[2
]}

机构：

[1] CNRS, Lab Math Jean Leray, Nantes, France

[2] Alfred Renyi Inst Math, Budapest, Hungary

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2021年 / 20卷 / 03期

关键词：

homology cobordism; knot concordance; correction terms; 4-MANIFOLDS;

D O I：

10.1017/S1474748019000434

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give simple homological conditions for a rational homology 3-sphere Y to have infinite order in the rational homology cobordism group Theta(3)(Q), and for a collection of rational homology spheres to be linearly independent. These translate immediately to statements about knot concordance when Y is the branched double cover of a knot, recovering some results of Livingston and Naik. The statements depend only on the homology groups of the 3-manifolds, but are proven through an analysis of correction terms and their behavior under connected sums.

引用

页码：989 / 1000

页数：12

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