Covering link calculus and iterated Bing doubles
type: Item
instance of: scholarly article
title: Covering link calculus and iterated Bing doubles
zbMATH Open document ID: 1181.57005
author: Jae Choon Cha
author: Taehee Kim
published in: Geometry \& Topology
publication date: 2008-09-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/0712.3762
review text: The authors give a new geometric obstruction to the iterated Bing double of a knot being a slice link. The main technique used in the proof is a covering link construction simplifying a given link. Combined with algebraic invariants, these results are sharp enough to conclude, that if the \(n\)-th iterated Bing double of a knot is slice for some \(n\), then the knot is algebraically slice. The authors also give explicit examples of algebraically slice knots with nonslice iterated Bing doubles.
reviewed by: Anna Beliakova
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57N70
zbMATH DE Number: 5344748
zbMATH Keywords: iterated Bing double
zbMATH Keywords: covering link
zbMATH Keywords: slice link
zbMATH Keywords: concordance invariant
zbMATH Keywords: Heegaard Floer homology
MaRDI profile type: Publication
OpenAlex ID: W2053160586
arXiv ID: 0712.3762
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DOI: 10.2140/GT.2008.12.2173
description: scientific article