Homology cobordism group of homology 3-spheres
type: Item
instance of: scholarly article
title: Homology cobordism group of homology 3-spheres
zbMATH Open document ID: 0716.55008
DOI: 10.1007/BF01231190
author: Mikio Furuta
published in: Inventiones Mathematicae
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143788
review text: The author, generalizing an argument of R. Fintushel and R. Stern, proves that \(\Theta^ H_ 3\), the integral cobordism group of oriented integral homology 3-spheres, has a subgroup isomorphic to \({\mathbb{Z}}^{\infty}\). The proof (that depends also on a paper of C. H. Taubes on gauge theory on end-periodic 4-manifolds) is given mapping Seifert fibered homology 3-spheres isomorphically to \({\mathbb{Z}}^{\infty}\) in the \({\mathbb{Z}}_ 2\)-homology cobordism group of oriented \({\mathbb{Z}}_ 2\)-homology 3-spheres. The referee pointed out that Fintushel and Stern proved some similar result in a not yet published paper.
Mathematics Subject Classification ID: 55N22
Mathematics Subject Classification ID: 57R77
zbMATH DE Number: 4180322
zbMATH Keywords: integral cobordism group
zbMATH Keywords: homology 3-spheres
zbMATH Keywords: Seifert fibered homology 3- spheres
MaRDI profile type: Publication
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OpenAlex ID: W2016366477
description: scientific article; zbMATH DE number 4180322