Knot Cabling and the Degree of the Colored Jones Polynomial II

Efstratia Kalfagianni; Anh T. Tran

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arXiv · 1501.04614

Knot Cabling and the Degree of the Colored Jones Polynomial II

Efstratia Kalfagianni·Anh T. Tran

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Abstract

We continue our study of the degree of the colored Jones polynomial under knot cabling started in "Knot Cabling and the Degree of the Colored Jones Polynomial" (arXiv:1501.01574). Under certain hypothesis on this degree, we determine how the Jones slopes and the linear term behave under cabling. As an application we verify Garoufalidis' Slope Conjecture and a conjecture of the authors for cables of a two-parameter family of closed 3-braids called 2-fusion knots.

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BibTeX RIS

Efstratia Kalfagianni, Anh T. Tran. 2015-01-19. Knot Cabling and the Degree of the Colored Jones Polynomial II. https://arxiv.org/abs/1501.04614

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