Closed incompressible surfaces in complements of wide knots and links
type: Item
instance of: scholarly article
title: Closed incompressible surfaces in complements of wide knots and links
zbMATH Open document ID: 0924.57003
DOI: 10.1016/S0166-8641(97)00232-0
author: Martin Lustig
author: Yoav Moriah
published in: Topology and its Applications
publication date: 1999-11-08T00:00:00Z
review text: The authors define the notion of wide knots (and links) and show that they contain closed incompressible nonboundary parallel surfaces in their complement. This is done by proving that this complements admit Heegaard splittings which are irreducible but weakly reducible, and using an extension of a result of Casson and Gordon. The authors then show that the class of wide knots and links is rather large, and that examples are easy to come by. They also show that the incompressible surfaces remain incompressible after most Dehn fillings.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57M10
zbMATH DE Number: 1307884
zbMATH Keywords: Heegaard splitting
zbMATH Keywords: weakly reducible
reviewed by: Józef H. Przytycki
MaRDI profile type: Publication
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Wikidata QID: Q126399783
description: scientific article; zbMATH DE number 1307884