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Realizations of Seifert matrices by hyperbolic knots
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Friedl, Stefan (2009) Realizations of Seifert matrices by hyperbolic knots. Journal of Knot Theory and its Ramifications, Vol.18 (No.11). pp. 1471-1474. doi:10.1142/S0218216509007622 ISSN 0218-2165.
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Official URL: http://dx.doi.org/10.1142/S0218216509007622
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Knot Theory and its Ramifications | ||||
Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||
ISSN: | 0218-2165 | ||||
Official Date: | November 2009 | ||||
Dates: |
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Volume: | Vol.18 | ||||
Number: | No.11 | ||||
Number of Pages: | 4 | ||||
Page Range: | pp. 1471-1474 | ||||
DOI: | 10.1142/S0218216509007622 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Data sourced from Thomson Reuters' Web of Knowledge
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