Extended periodic links and HOMFLYPT polynomial

Nafaa Chbili; Hajer Jebali

doi:10.1142/S0218216519400066

Extended periodic links and HOMFLYPT polynomial

Nafaa Chbili, Hajer Jebali

Department of Mathematical Sciences

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

Abstract

Extended strongly periodic links have been introduced by Przytycki and Sokolov as a symmetric surgery presentation of three-manifolds on which the finite cyclic group acts without fixed points. The purpose of this paper is to prove that the symmetry of these links is reflected by the first coefficients of the HOMFLYPT polynomial.

Original language	English
Article number	1940006
Journal	Journal of Knot Theory and its Ramifications
Volume	28
Issue number	11
DOIs	https://doi.org/10.1142/S0218216519400066
Publication status	Published - Oct 1 2019

Keywords

HOMFLYPT polynomial
Periodic links
three-manifolds

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216519400066

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abstract = "Extended strongly periodic links have been introduced by Przytycki and Sokolov as a symmetric surgery presentation of three-manifolds on which the finite cyclic group acts without fixed points. The purpose of this paper is to prove that the symmetry of these links is reflected by the first coefficients of the HOMFLYPT polynomial.",

keywords = "HOMFLYPT polynomial, Periodic links, three-manifolds",

author = "Nafaa Chbili and Hajer Jebali",

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AU - Jebali, Hajer

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N2 - Extended strongly periodic links have been introduced by Przytycki and Sokolov as a symmetric surgery presentation of three-manifolds on which the finite cyclic group acts without fixed points. The purpose of this paper is to prove that the symmetry of these links is reflected by the first coefficients of the HOMFLYPT polynomial.

AB - Extended strongly periodic links have been introduced by Przytycki and Sokolov as a symmetric surgery presentation of three-manifolds on which the finite cyclic group acts without fixed points. The purpose of this paper is to prove that the symmetry of these links is reflected by the first coefficients of the HOMFLYPT polynomial.

KW - HOMFLYPT polynomial

KW - Periodic links

KW - three-manifolds

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Extended periodic links and HOMFLYPT polynomial

Abstract

Keywords

ASJC Scopus subject areas

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