# 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.