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# DOES THE JONES POLYNOMIAL DETECT THE UNKNOT ?

@inproceedings{Bigelow2002DOESTJ, title={DOES THE JONES POLYNOMIAL DETECT THE UNKNOT ?}, author={Stephen Bigelow}, year={2002} }

- Published 2002

We address the question: Does there exist a non-trivial knot with a trivial Jones polynomial? To find such a knot, it is almost certainly sufficient to find a non-trivial braid on four strands in the kernel of the Burau representation. I will describe a computer algorithm to search for such a braid.