Surrery descriptions and volmes of berge knots II: Descriptons on the minimally twisted five chain link

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Using Kirby calculus, we explicitly pass from Berge's R-R descriptions of ten families of knots with lens space surgeries to surgery descriptions on the minimally twisted five chain link (MT5C). Since the MT5C admits a strong inversion, we also give the corresponding tangle descriptions.

Original languageEnglish (US)
Pages (from-to)1099-1120
Number of pages22
JournalJournal of Knot Theory and its Ramifications
Volume17
Issue number9
DOIs
StatePublished - Sep 2008

Fingerprint

Surgery
Knot
Lens Space
Tangles
Inversion
Calculus
Family

Keywords

  • Berge knots
  • Chain link
  • Lens space
  • Surgery description

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

@article{08f233e0e402415698752c0fd55ee26e,
title = "Surrery descriptions and volmes of berge knots II: Descriptons on the minimally twisted five chain link",
abstract = "Using Kirby calculus, we explicitly pass from Berge's R-R descriptions of ten families of knots with lens space surgeries to surgery descriptions on the minimally twisted five chain link (MT5C). Since the MT5C admits a strong inversion, we also give the corresponding tangle descriptions.",
keywords = "Berge knots, Chain link, Lens space, Surgery description",
author = "Kenneth Baker",
year = "2008",
month = "9",
doi = "10.1142/S021821650800652X",
language = "English (US)",
volume = "17",
pages = "1099--1120",
journal = "Journal of Knot Theory and its Ramifications",
issn = "0218-2165",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "9",

}

TY - JOUR

T1 - Surrery descriptions and volmes of berge knots II

T2 - Descriptons on the minimally twisted five chain link

AU - Baker, Kenneth

PY - 2008/9

Y1 - 2008/9

N2 - Using Kirby calculus, we explicitly pass from Berge's R-R descriptions of ten families of knots with lens space surgeries to surgery descriptions on the minimally twisted five chain link (MT5C). Since the MT5C admits a strong inversion, we also give the corresponding tangle descriptions.

AB - Using Kirby calculus, we explicitly pass from Berge's R-R descriptions of ten families of knots with lens space surgeries to surgery descriptions on the minimally twisted five chain link (MT5C). Since the MT5C admits a strong inversion, we also give the corresponding tangle descriptions.

KW - Berge knots

KW - Chain link

KW - Lens space

KW - Surgery description

UR - http://www.scopus.com/inward/record.url?scp=58149512954&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=58149512954&partnerID=8YFLogxK

U2 - 10.1142/S021821650800652X

DO - 10.1142/S021821650800652X

M3 - Article

AN - SCOPUS:58149512954

VL - 17

SP - 1099

EP - 1120

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 9

ER -