PERSISTENT LAMINATIONS FROM SEIFERT SURFACES-Reference-Cited by-同舟云学术

PERSISTENT LAMINATIONS FROM SEIFERT SURFACES

Published:2001-12 Issue:08 Volume:10 Page:1155-1168
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

BRITTENHAM MARK¹

Affiliation:

1. University of Nebraska, Department of Mathematics, Lincoln, NE 68588-0323, USA

Abstract

We show how an incompressible Seifert surface F for a knot K in S3 can be used to create an essential lamination ℒF in the complement of each of an infinite class of knots associated to F. This lamination is persistent for these knots; it remains essential under all non-trivial Dehn fillings of the knot complement. This implies a very strong form of Property P for each of these knots.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216501001372

Reference19 articles.

1. PERSISTENTLY LAMINAR TANGLES

2. Graph manifolds and taut foliations

3. Essential laminations and Dehn surgery on 2-bridge knots

4. Alternating knots satisfy strong property P

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