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AN ELEMENTARY PROOF OF THE EFFECT OF 3-MOVE ON THE JONES POLYNOMIAL

Authors
 Seobum Cho  ;  Soojeong Kim 
Citation
 Pure and Applied Mathematics (한국수학교육학회지시리즈B: 순수 및 응용수학), Vol.25(2) : 95-113, 2018 
Journal Title
 Pure and Applied Mathematics (한국수학교육학회지시리즈B: 순수 및 응용수학) 
Issue Date
2018
Keywords
knots and links ; 2-string tangle ; 3-moves ; Jones polynomial
Abstract
A mathematical knot is an embedded circle in R3. A fundamental problem in knot theory is classifying knots up to its numbers of crossing points. Knots are often distinguished by using a knot invariant, a quantity which is the same for equivalent knots. Knot polynomials are one of well known knot invariants. In 2006, J. Przytycki showed the effects of a n 􀀀 move (a local change in a knot diagram) on several knot polynomials. In this paper, the authors review about knot polynomials, especially Jones polynomial, and give an alternative proof to a part of the Przytychi's result for the case n = 3 on the Jones polynomial.
Files in This Item:
T201802055.pdf Download
DOI
10.7468/jksmeb.2018.25.2.95
Appears in Collections:
1. College of Medicine (의과대학) > Others (기타) > 1. Journal Papers
Yonsei Authors
Cho, Seobum(조서범)
URI
https://ir.ymlib.yonsei.ac.kr/handle/22282913/179841
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