Signature of rotors

• Autorzy: Mieczysław K. Dąbkowski , Makiko Ishiwata , Józef H. Przytycki , Akira Yasuhara
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57M27: Invariants of knots and 3-manifolds
• 57M25: Knots and links in S 3

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2004
• Tom: 184
• Numer: 1
• Strony: 79-97

Daty

wydano

2004

Twórcy

autor

Mieczysław K. Dąbkowski

• Department of Mathematics, University of Texas at Dallas, Richardson, TX 75083-0688, U.S.A.

autor

Makiko Ishiwata

• Department of Mathematics, Tokyo Woman's Christian University, Zempukuji 2-6-1, Suginamiku, Tokyo 167-8585, Japan

autor

Józef H. Przytycki

• Department of Mathematics, The George Washington University, Washington, DC 20052, U.S.A.

autor

Akira Yasuhara

• Department of Mathematics, Tokyo Gakugei University, Nukuikita 4-1-1, Koganei, Tokyo 184-8501, Japan

Identyfikatory

DOI

10.4064/fm184-0-6