w-Invariants and the Fintushel-Stern Invariants for Plumbed Homology 3-Spheres

被引：2

作者：

Fukumoto, Yoshihiro ^{[1
]}

机构：

[1] Ritsumeikan Univ, Shiga, Japan

来源：

EXPERIMENTAL MATHEMATICS | 2011年 / 20卷 / 01期

关键词：

Homology cobordism; Donaldson theory; Seiberg-Witten theory; BOUNDING ACYCLIC 4-MANIFOLDS; ORBIFOLD INSTANTONS; SINGULARITIES; COMPACTNESS; SPACES;

D O I：

10.1080/10586458.2011.544556

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present numerical computations of the w-invariants and the Fintushel-Stern invariants for plumbed homology 3-spheres and use the results to test a conjecture of Witten suggesting that the invariants carry equivalent information. While the two invariants give nearly the same information for some homology 3-spheres, we present numerous examples in which the information carried by the two invariants is quite different.

引用

页码：1 / 14

页数：14