Realizations of Seifert matrices by hyperbolic knots
arXiv:0704.3390
Abstract
Recently Kearton showed that any Seifert matrix of a knot is S--equivalent to the Seifert matrix of a prime knot. We show in this note that such a matrix is in fact S--equivalent to the Seifert matrix of a hyperbolic knot. This result follows from reinterpreting this problem in terms of Blanchfield pairings and by applying results of Kawauchi.
4 pages, to be published by the Journal of Knot Theory and its Ramifications