Realizations of Seifert matrices by hyperbolic knots

Details Realizations of Seifert matrices by hyperbolic knots Realizations of Seifert matrices by hyperbolic knots

2007-04-25

arxiv.org/abs/0704.3390v1

Mathematics

Geometric Topology

4 pages, to be published by the Journal of Knot Theory and its Ramifications

Scientific paper

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.

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