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REALIZATIONS OF SEIFERT MATRICES BY HYPERBOLIC KNOTS

STEFAN FRIEDL

University of Warwick, Coventry, UK

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https://doi.org/10.1142/S0218216509007622Cited by:6 (Source: Crossref)

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.

Keywords:

AMSC: Primary 57M25

References

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Journal cover image

Vol. 18, No. 11

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Downloaded 43 times

History

Accepted 8 April 2008

Keywords