Fukumoto-Furuta invariants of plumbed homology 3-spheres
Fukumoto-Furuta invariants of plumbed homology 3-spheres
复制标题
管道同调 3 球体的 Fukumoto-Furuta 不变量
DOI：
10.2140/pjm.2002.205.465
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发表时间：
2002
影响因子：
0.6
通讯作者：
N. Saveliev
中科院分区：
文献类型：
--
作者：
N. Saveliev
同调三维球面的同调余边群的研究最近的主要进展与Fukumoto、Furuta和UE在其w-不变量方面的工作有关。我们将w-不变量与Neumann和Siebenmann的μ-不变量联系起来。从而证明了所有Seifert纤维和某些具有非平凡Rohlin不变量的垂化同调球面在同调余边群中具有无穷阶。
Recent major progress in the study of the homology cobordism group of homology 3-spheres is related to the work of Fukumoto, Furuta, and Ue on their w-invariant. We identify the w-invariant with the μ-invariant of Neumann and Siebenmann for all plumbed homology spheres. This leads to proving that all Seifert fibered and some classes of plumbed homology spheres with nontrivial Rohlin invariant have infinite order in the homology cobordism group.