Some arithmetic properties of the CWL invariant
type: Item
instance of: scholarly article
title: Some arithmetic properties of the CWL invariant
zbMATH Open document ID: 1338.57015
author: Noriko Maruyama
published in: Topology and its Applications
publication date: 2016-05-11T00:00:00Z
review text: This paper shows that for homology lens spaces the fractional part of the Casson-Walker-Lescop invariant is determined by the mod \(\mathbb Z\) linking form. Tables are provided to illustrate this result, proved mostly by arithmetic, and the author observes that its converse does not hold.
reviewed by: Kenneth A. Perko Jr.
Mathematics Subject Classification ID: 57M27
zbMATH DE Number: 6579164
zbMATH Keywords: Casson-Walker-Lescop invariant
zbMATH Keywords: Dedekind sum
zbMATH Keywords: lens space
zbMATH Keywords: homology lens space
zbMATH Keywords: knot surgery
zbMATH Keywords: linking form
zbMATH Keywords: arithmetic
MaRDI profile type: Publication
full work available at URL: j.topol.2016.03.030
OpenAlex ID: W2322215415
cites work: Q3033002
cites work: Algebraic classification of linking pairings on 3-manifolds
cites work: Global Surgery Formula for the Casson-Walker Invariant
cites work: A distribution of rational homology 3-spheres captured by the CWL invariant Phase 1
cites work: Q5663963
cites work: An Extension of Casson's Invariant. (AM-126)
DOI: 10.1016/J.TOPOL.2016.03.030
description: scientific article; zbMATH DE number 6579164