2007/04/25 by Stefan Friedl, Friedl, Stefan
Mathematics · #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25
paper · pdf · doi:10.48550/arxiv.0704.3390
4 pages, to be published by the Journal of Knot Theory and its Ramifications
arxiv created 2007/04/25 · arxiv updated 2009/12/01
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.