Representativity and waist of cable knots

Roman Aranda; Seungwon Kim; Maggy Tomova

doi:10.1142/S0218216518500256

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Representativity and waist of cable knots

Journal article

Peer reviewed

Representativity and waist of cable knots

Roman Aranda, Seungwon Kim and Maggy Tomova

Journal of knot theory and its ramifications, Vol.27(4), p.1850025

04/01/2018

DOI: 10.1142/S0218216518500256

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https://arxiv.org/pdf/1704.08414View

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Abstract

We study the essential surfaces in the exterior of a cable knot to compute the representativity and waist of most cable knots. Our computation answers Ozawa's question [5] about the relationship between the representativity and the waist of a knot in the negative.

Mathematics

Physical Sciences

Science & Technology

Details

Title: Subtitle: Representativity and waist of cable knots
Creators: Roman Aranda - University of Iowa
Seungwon Kim - National Institute for Mathematical Sciences
Maggy Tomova - University of Iowa
Resource Type: Journal article
Publication Details: Journal of knot theory and its ramifications, Vol.27(4), p.1850025
DOI: 10.1142/S0218216518500256
ISSN: 0218-2165
eISSN: 1793-6527
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD
Number of pages: 8
Grant note: DMS-1054450 / NSF
Language: English
Date published: 04/01/2018
Academic Unit: Mathematics
Record Identifier: 9984240777302771

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