Constructing persistently laminar knots

Sangyop Lee; Seungsang Oh

doi:10.1016/S0166-8641(01)00243-7

Constructing persistently laminar knots

Sangyop Lee, Seungsang Oh

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Brittenham has shown how an incompressible Seifert surface for a knot in S³ can be used to find an infinite class of persistently laminar knots which therefore have Property P and satisfy the Cabling Conjecture. In this paper we improve his result to create a larger family of such knots.

Original language	English
Pages (from-to)	139-143
Number of pages	5
Journal	Topology and its Applications
Volume	124
Issue number	1
DOIs	https://doi.org/10.1016/S0166-8641(01)00243-7
Publication status	Published - 2002 Oct 1
Externally published	Yes

Keywords

Dehn filling
Essential lamination
Persistently laminar

ASJC Scopus subject areas

Geometry and Topology

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10.1016/S0166-8641(01)00243-7

Cite this

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abstract = "Brittenham has shown how an incompressible Seifert surface for a knot in S3 can be used to find an infinite class of persistently laminar knots which therefore have Property P and satisfy the Cabling Conjecture. In this paper we improve his result to create a larger family of such knots.",

keywords = "Dehn filling, Essential lamination, Persistently laminar",

author = "Sangyop Lee and Seungsang Oh",

note = "Funding Information: *Corresponding author. E-mail addresses: slee@knot.kaist.ac.kr (S. Lee), soh@math.chonbuk.ac.kr (S. Oh). 1Supported by grant No. 2001-1-10100-010-2 from the Basic Research Program Engineering Foundation.",

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AU - Oh, Seungsang

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PY - 2002/10/1

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N2 - Brittenham has shown how an incompressible Seifert surface for a knot in S3 can be used to find an infinite class of persistently laminar knots which therefore have Property P and satisfy the Cabling Conjecture. In this paper we improve his result to create a larger family of such knots.

AB - Brittenham has shown how an incompressible Seifert surface for a knot in S3 can be used to find an infinite class of persistently laminar knots which therefore have Property P and satisfy the Cabling Conjecture. In this paper we improve his result to create a larger family of such knots.

KW - Dehn filling

KW - Essential lamination

KW - Persistently laminar

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U2 - 10.1016/S0166-8641(01)00243-7

DO - 10.1016/S0166-8641(01)00243-7

M3 - Article

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JO - Topology and its Applications

JF - Topology and its Applications

IS - 1

ER -

Constructing persistently laminar knots

Abstract

Keywords

ASJC Scopus subject areas

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