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Signature of rotors

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Dąbkowski M., Ishiwata M., Przytycki J., Yasuhara A.

Fundamenta Mathematicae

2004

tom 184

nr 1

79-97

Rotors were introduced as a generalization of mutation by Anstee, Przytycki and Rolfsen in 1987. In this paper we show that the Tristram-Levine signature is preserved by orientation-preserving rotations. Moreover, we show that any link invariant obtained from the characteristic polynomial of the Goeritz matrix, including the Murasugi-Trotter signature, is not changed by rotations. In 2001, P. Traczyk showed that the Conway polynomials of any pair of orientation-preserving rotants coincide. We show that there is a pair of orientation-reversing rotants with different Conway polynomials.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Dąbkowski M.

1 Ishiwata M.

1 Przytycki J.

1 Yasuhara A.

1 2004

Wyniki wyszukiwania

Signature of rotors