The quantum SU(3) invariant of links and Murasugi's congruence

Nafaa Chbili

doi:10.1016/S0166-8641(01)00195-X

The quantum SU(3) invariant of links and Murasugi's congruence

Nafaa Chbili

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

8 Citations (Scopus)

Abstract

We use the SU(3) invariant introduced in [Enseign. Math. (2) 44 (1998) 325-360] to give a new criterion for periodic links. The result that we introduce in this paper may be seen as a generalization of Murasugi's result about the Jones polynomial of periodic links [Pacific J. Math. 131 (1988) 319-329].

Original language	English
Pages (from-to)	479-485
Number of pages	7
Journal	Topology and its Applications
Volume	122
Issue number	3
DOIs	https://doi.org/10.1016/S0166-8641(01)00195-X
Publication status	Published - Aug 16 2002
Externally published	Yes

Keywords

Homfly polynomial
Oriented graphs
Periodic links

ASJC Scopus subject areas

Geometry and Topology

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10.1016/S0166-8641(01)00195-X

Cite this

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title = "The quantum SU(3) invariant of links and Murasugi's congruence",

abstract = "We use the SU(3) invariant introduced in [Enseign. Math. (2) 44 (1998) 325-360] to give a new criterion for periodic links. The result that we introduce in this paper may be seen as a generalization of Murasugi's result about the Jones polynomial of periodic links [Pacific J. Math. 131 (1988) 319-329].",

keywords = "Homfly polynomial, Oriented graphs, Periodic links",

author = "Nafaa Chbili",

note = "Funding Information: E-mail address: [email protected] (N. Chbili). 1 This work was partially completed when I was visiting the University of Toronto supported by a NSERC grant. I would like to express my thanks and gratitude to Professor K. Murasugi for his hospitality.",

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AU - Chbili, Nafaa

N1 - Funding Information: E-mail address: [email protected] (N. Chbili). 1 This work was partially completed when I was visiting the University of Toronto supported by a NSERC grant. I would like to express my thanks and gratitude to Professor K. Murasugi for his hospitality.

PY - 2002/8/16

Y1 - 2002/8/16

N2 - We use the SU(3) invariant introduced in [Enseign. Math. (2) 44 (1998) 325-360] to give a new criterion for periodic links. The result that we introduce in this paper may be seen as a generalization of Murasugi's result about the Jones polynomial of periodic links [Pacific J. Math. 131 (1988) 319-329].

AB - We use the SU(3) invariant introduced in [Enseign. Math. (2) 44 (1998) 325-360] to give a new criterion for periodic links. The result that we introduce in this paper may be seen as a generalization of Murasugi's result about the Jones polynomial of periodic links [Pacific J. Math. 131 (1988) 319-329].

KW - Homfly polynomial

KW - Oriented graphs

KW - Periodic links

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JO - Topology and its Applications

JF - Topology and its Applications

IS - 3

ER -

The quantum SU(3) invariant of links and Murasugi's congruence

Abstract

Keywords

ASJC Scopus subject areas

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