Does the Jones Polynomial Determine the Signature of a Knot?

Abstract

The signature function of a knot is an integer valued step function defined on the unit circle. The jumps (i.e., the discontinuities) of the signature function can occur only at the roots of the Alexander polynomial on the unit circle. The latter are important in deforming U(1) representations of knot groups to irreducible SU(2) representations. Under the… (More)

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Cite this paper

@inproceedings{Garoufalidis2008DoesTJ, title={Does the Jones Polynomial Determine the Signature of a Knot?}, author={Stavros Garoufalidis}, year={2008} }