On the Casson invariant of homology 3-spheres of Mazur type
type: Item
instance of: scholarly article
title: On the Casson invariant of homology 3-spheres of Mazur type
zbMATH Open document ID: 1188.57011
author: Yoko Mizuma
published in: Topology and its Applications
publication date: 2009-08-20T00:00:00Z
review text: In the paper under review, it is shown that, for every integer \(n\), there exists a homology 3-sphere of Mazur type whose Casson invariant is \(2n\) (Corollary 2.4). To obtain this, the author compute the Casson invariant for some integral homology 3-spheres of Mazur type, which are given by double branched covers along certain ribbon knots of 1-fusion.
reviewed by: Kazuhiro Ichihara
Mathematics Subject Classification ID: 57M27
zbMATH DE Number: 5597573
zbMATH Keywords: Casson invariant
zbMATH Keywords: integral homology 3-spheres of Mazur type
zbMATH Keywords: ribbon knots
MaRDI profile type: Publication
full work available at URL: j.topol.2009.06.003
OpenAlex ID: W2089035988
cites work: Mazur manifolds
cites work: Q3995494
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cites work: A note on some contractible 4-manifolds
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cites work: Casson invariant of links of singularities
cites work: Invariants for homology 3-spheres
DOI: 10.1016/J.TOPOL.2009.06.003
description: scientific article; zbMATH DE number 5597573