Casson-Gordon invariants of some 3-fold branched covers of knots
type: Item
instance of: scholarly article
title: Casson-Gordon invariants of some 3-fold branched covers of knots
zbMATH Open document ID: 0676.57009
DOI: 10.1016/0166-8641(89)90020-5
author: Lawrence Smolinsky
published in: Topology and its Applications
publication date: 1989-01-01T00:00:00Z
review text: The paper continues earlier work by the author and is concerned with the construction of odd-dimensional knots that are doubly sliced but not doubled disks. While \((4n+1)\)-dimensional examples were published elsewhere by the author [Trans. Am. Math. Soc. 298, 723-732 (1986; Zbl 0618.57007)] by using the Casson-Gordon invariant from the 2-fold covers of the knot, the 3-fold covers are employed here for \((4n+3)\)-dimensional examples. The author also proves that certain \((4n+3)\)-knots constructed by Ruberman are not doubly sliced although they satisfy the necessary conditions given by Sumners and Levine for odd dimensional doubly sliced knots.
Mathematics Subject Classification ID: 57Q45
Mathematics Subject Classification ID: 57Q60
zbMATH DE Number: 4107751
zbMATH Keywords: odd-dimensional knots
zbMATH Keywords: doubly sliced
zbMATH Keywords: doubled disks
zbMATH Keywords: Casson-Gordon invariant
reviewed by: Gerhard Burde
MaRDI profile type: Publication
full work available at URL: 0166-8641(89)90020-5
OpenAlex ID: W1986291136
cites work: Branched covers of surfaces in 4-manifolds
cites work: The index of elliptic operators. III
cites work: Q4176703
cites work: Configurations of Surfaces in 4-Manifolds
cites work: Seifert Matrices and Boundary Link Cobordisms
cites work: Doubly sliced knots and doubled disk knots
cites work: Doubly Slice Knots and the Casson-Gordon Invariants
cites work: Doubly Sliced Knots Which are Not the Double of a Disk
cites work: A Generalization of the Levine-Tristram Link Invariant
cites work: Invertible knot cobordisms
cites work: Twisting Spun Knots
description: scientific article; zbMATH DE number 4107751