The Gordian complex with pass moves is not homogeneous with respect to Conway polynomials

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概要

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• After the works of Kauffman-Banchoff and Yamasaki, it is known that a local move called the pass move is strongly related to the Arf invariant,which is equivalent to the parity of the coefficient of the degree two term in the Conway polynomial.Our main result is the following: There exists a pair of knots such that their Conway polynomials coincide, and that the sets of Conway polynomials of knots obtained from them by a single pass move do not coincide.

著者

• Ohyama Yoshiyuki

  Department Of Mathematics College Of Arts And Sciences Tokyo Woman's Christian University Zempu

• Ohyama Yoshiyuki

  Department Of Intelligence And Computer Science Nagoya Institute Of Technology

• Nakanishi Yasutaka

  Department Of Mathematics Graduate School Of Science Kobe University Rokko Nada-ku Kobe 657-8501 Jap

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