arXiv:0704.3390 Abstract | arXiv Analytics

arXiv:0704.3390 [math.GT]Abstract References Reviews Resources

Realizations of Seifert matrices by hyperbolic knots

Published 2007-04-25Version 1

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.

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

Categories: math.GT

Subjects: 57M25

Keywords: hyperbolic knot, seifert matrices, seifert matrix, realizations, blanchfield pairings

Related articles: Most relevant | Search more

arXiv:1512.04603 [math.GT] (Published 2015-12-14)

The presentation of the Blanchfield pairing of a knot via a Seifert matrix

Stefan Friedl, Mark Powell

arXiv:1102.0890 [math.GT] (Published 2011-02-04, updated 2011-12-07)

Homogeneous links and the Seifert matrix

P. M. G. Manchón

arXiv:math/0411384 [math.GT] (Published 2004-11-17, updated 2004-12-11)