The AJ-Conjecture and cabled knots over torus knots

Dennis Ruppe; Xingru Zhang

doi:10.1142/S0218216515500510

The AJ-Conjecture and cabled knots over torus knots

Dennis Ruppe
, Xingru Zhang

Mathematics

SUNY Buffalo

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

3 Scopus citations

Abstract

We show that most cabled knots over torus knots in S³ satisfy the AJ-conjecture, namely each (r, s)-cabled knot over each (p, q)-torus knot satisfies the AJ-conjecture if r is not a number between 0 and pqs.

Original language	English
Article number	1550051
Journal	Journal of Knot Theory and its Ramifications
Volume	24
Issue number	9
DOIs	https://doi.org/10.1142/S0218216515500510
State	Published - Aug 2 2015

Keywords

A-polynomials
cabled knots
Colored Jones polynomials
the AJ-conjecture

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10.1142/S0218216515500510

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title = "The AJ-Conjecture and cabled knots over torus knots",

abstract = "We show that most cabled knots over torus knots in S3 satisfy the AJ-conjecture, namely each (r, s)-cabled knot over each (p, q)-torus knot satisfies the AJ-conjecture if r is not a number between 0 and pqs.",

keywords = "A-polynomials, cabled knots, Colored Jones polynomials, the AJ-conjecture",

author = "Dennis Ruppe and Xingru Zhang",

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AU - Ruppe, Dennis

AU - Zhang, Xingru

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AB - We show that most cabled knots over torus knots in S3 satisfy the AJ-conjecture, namely each (r, s)-cabled knot over each (p, q)-torus knot satisfies the AJ-conjecture if r is not a number between 0 and pqs.

KW - A-polynomials

KW - cabled knots

KW - Colored Jones polynomials

KW - the AJ-conjecture

UR - https://www.scopus.com/pages/publications/84942989283

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DO - 10.1142/S0218216515500510

M3 - Article

AN - SCOPUS:84942989283

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JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

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ER -

The AJ-Conjecture and cabled knots over torus knots

Abstract

Keywords

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