Document Type
Article
Publication Date
1-1-1997
Abstract
There have been many attempts to settle the question whether there exist nontrivial knots with trivial Jonespolynomial. In this paper we show that such a knot must have crossing number at least 18. Furthermore we give the number of prime alternating knots and an upper bound for the number of prime knots up to 17 crossings. We also compute the number of different HOMFLY, Jonesand Alexander polynomials for knots up to 15 crossings. © A K Peters, Ltd.
Publication Source (Journal or Book title)
Experimental Mathematics
First Page
51
Last Page
56
Recommended Citation
Dasbach, O., & Hougardy, S. (1997). Does the Jones polynomial detect unknottedness?. Experimental Mathematics, 6 (1), 51-56. https://doi.org/10.1080/10586458.1997.10504350
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