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ON JONES POLYNOMIALS OF ALTERNATING PRETZEL KNOTS

Department of Mathematical Sciences, School of Science, Tokai University, 4-1-1 Kitakaname, Hiratsuka-shi, Kanagawa 259-1292, Japan

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MAKOTO YAMAMOTO

Department of Mathematics, Faculty of Science and Engineering, Chuo University, 1-13-27 Kasuga, Bunkyo-ku, Tokyo 112-8551, Japan

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https://doi.org/10.1142/S0218216512501271Cited by:3 (Source: Crossref)

Abstract

We show that there are infinitely many pairs of alternating pretzel knots whose Jones polynomials are identical.

Dedicated to Professor Sin'ichi Suzuki on the occasion of his 70th birthday.

Keywords:

AMSC: 57M27

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Vol. 21, No. 14

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History

Received 30 January 2012

Accepted 7 September 2012

Published: 16 November 2012

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ON JONES POLYNOMIALS OF ALTERNATING PRETZEL KNOTS

Abstract

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