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Labels instead of coefficients : A label bracket [•] L which dominates the Jones polynomial [•], the Kuperberg bracket [•] A 2, and the normalized arrow polynomial [•]. / Akimova, Alyona A.; Manturov, Vassily O.

In: Journal of Knot Theory and its Ramifications, Vol. 29, No. 2, 2040001, 01.02.2020.

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Akimova AA, Manturov VO. Labels instead of coefficients: A label bracket [•] L which dominates the Jones polynomial [•], the Kuperberg bracket [•] A 2, and the normalized arrow polynomial [•]. Journal of Knot Theory and its Ramifications. 2020 Feb 1;29(2):2040001. doi: 10.1142/S0218216520400015

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Akimova, Alyona A. ; Manturov, Vassily O. / Labels instead of coefficients : A label bracket [•] L which dominates the Jones polynomial [•], the Kuperberg bracket [•] A 2, and the normalized arrow polynomial [•]. In: Journal of Knot Theory and its Ramifications. 2020 ; Vol. 29, No. 2.

BibTeX

@article{3863d407ce4d413b8ca30f7ae7fde0e9,
title = "Labels instead of coefficients: A label bracket [•] L which dominates the Jones polynomial [•], the Kuperberg bracket [•] A 2, and the normalized arrow polynomial [•]",
abstract = "In the present paper, we develop a picture formalism which gives rise to an invariant that dominates several known invariants of classical and virtual knots: the Jones polynomial [•], the Kuperberg bracket [•]A2, and the normalized arrow polynomial [•].",
keywords = "arrow polynomial, invariant, Kauffman bracket, Knot, Kuperberg bracket, picture-valued, skein relation, INVARIANT, KNOTS",
author = "Akimova, {Alyona A.} and Manturov, {Vassily O.}",
year = "2020",
month = feb,
day = "1",
doi = "10.1142/S0218216520400015",
language = "English",
volume = "29",
journal = "Journal of Knot Theory and its Ramifications",
issn = "0218-2165",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "2",

}

RIS

TY - JOUR

T1 - Labels instead of coefficients

T2 - A label bracket [•] L which dominates the Jones polynomial [•], the Kuperberg bracket [•] A 2, and the normalized arrow polynomial [•]

AU - Akimova, Alyona A.

AU - Manturov, Vassily O.

PY - 2020/2/1

Y1 - 2020/2/1

N2 - In the present paper, we develop a picture formalism which gives rise to an invariant that dominates several known invariants of classical and virtual knots: the Jones polynomial [•], the Kuperberg bracket [•]A2, and the normalized arrow polynomial [•].

AB - In the present paper, we develop a picture formalism which gives rise to an invariant that dominates several known invariants of classical and virtual knots: the Jones polynomial [•], the Kuperberg bracket [•]A2, and the normalized arrow polynomial [•].

KW - arrow polynomial

KW - invariant

KW - Kauffman bracket

KW - Knot

KW - Kuperberg bracket

KW - picture-valued

KW - skein relation

KW - INVARIANT

KW - KNOTS

UR - http://www.scopus.com/inward/record.url?scp=85082091554&partnerID=8YFLogxK

U2 - 10.1142/S0218216520400015

DO - 10.1142/S0218216520400015

M3 - Article

AN - SCOPUS:85082091554

VL - 29

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 2

M1 - 2040001

ER -

ID: 23893067