Verification of the Jones unknot conjecture up to 24 crossings

Robert E. Tuzun; Adam S. Sikora

doi:10.1142/S0218216521500206

Verification of the Jones unknot conjecture up to 24 crossings

Robert E. Tuzun
, Adam S. Sikora

Mathematics

SUNY Buffalo

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

3 Scopus citations

Abstract

Extending upon our previous work, we verify the Jones Unknot Conjecture for all knots up to 24 crossings. We describe the method of our approach and analyze the growth of the computational complexity of its different components.

Original language	English
Article number	2150020
Journal	Journal of Knot Theory and its Ramifications
Volume	30
Issue number	3
DOIs	https://doi.org/10.1142/S0218216521500206
State	Published - Mar 2021

Keywords

Conway polyhedron
Jones conjecture
Jones polynomial
Knot
tangle
unknot

Access to Document

10.1142/S0218216521500206

Cite this

@article{1e00710daf364036a7246b5be78ed3ec,

title = "Verification of the Jones unknot conjecture up to 24 crossings",

abstract = "Extending upon our previous work, we verify the Jones Unknot Conjecture for all knots up to 24 crossings. We describe the method of our approach and analyze the growth of the computational complexity of its different components.",

keywords = "Conway polyhedron, Jones conjecture, Jones polynomial, Knot, tangle, unknot",

author = "Tuzun, \{Robert E.\} and Sikora, \{Adam S.\}",

note = "Publisher Copyright: {\textcopyright} 2021 World Scientific Publishing Company.",

year = "2021",

month = mar,

doi = "10.1142/S0218216521500206",

language = "English",

volume = "30",

journal = "Journal of Knot Theory and its Ramifications",

issn = "0218-2165",

publisher = "World Scientific",

number = "3",

}

TY - JOUR

T1 - Verification of the Jones unknot conjecture up to 24 crossings

AU - Tuzun, Robert E.

AU - Sikora, Adam S.

PY - 2021/3

Y1 - 2021/3

N2 - Extending upon our previous work, we verify the Jones Unknot Conjecture for all knots up to 24 crossings. We describe the method of our approach and analyze the growth of the computational complexity of its different components.

AB - Extending upon our previous work, we verify the Jones Unknot Conjecture for all knots up to 24 crossings. We describe the method of our approach and analyze the growth of the computational complexity of its different components.

KW - Conway polyhedron

KW - Jones conjecture

KW - Jones polynomial

KW - Knot

KW - tangle

KW - unknot

UR - https://www.scopus.com/pages/publications/85105535094

U2 - 10.1142/S0218216521500206

DO - 10.1142/S0218216521500206

M3 - Article

AN - SCOPUS:85105535094

SN - 0218-2165

VL - 30

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 3

M1 - 2150020

ER -

Verification of the Jones unknot conjecture up to 24 crossings

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this