Knot Cabling and the Degree of the Colored Jones Polynomial Ii
نویسنده
چکیده
We continue our study of the degree of the colored Jones polynomial under knot cabling started in [8]. 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 [8] for cables of a two-parameter family of closed 3-braids called 2-fusion knots. 2010 Mathematics Classification: Primary 57N10. Secondary 57M25.
منابع مشابه
Knot Cabling and the Degree of the Colored Jones Polynomial
We study the behavior of the degree of the colored Jones polynomial and the boundary slopes of knots under the operation of cabling. We show that, under certain hypothesis on this degree, if a knot K satisfies the Slope Conjecture then a (p, q)-cable of K satisfies the conjecture, provided that p/q is not a Jones slope of K. As an application we prove the Slope Conjecture for iterated cables of...
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تاریخ انتشار 2015