Wrapping your cables is easy, but avoiding kinks, twists, and knots is a lot harder. The trick is to alternative the direction of the wrap, but that's really the sort of thing you have to learn ...

Proceedings of the American Mathematical Society, Vol. 135, No. 8 (Aug., 2007), pp. 2633-2636 (4 pages) We investigate the behaviour of Rasmussen's invariant s under the sharp operation on knots and ...

Let $J_K(t) = a_rt^r + \cdots + a_st^s, r > s$, be the Jones polynomial of a knot K in S3. For an alternating knot, it is proved that r - s is bounded by the number ...