Signature of rotors

Mieczysław K. Da̧bkowski, Makiko Ishiwata, Józef H. Przytycki, Akira Yasuhara

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)79-97
Number of pages19
JournalFundamenta Mathematicae
Volume184
Issue number1-3
Publication statusPublished - 2004 Dec 1
Externally publishedYes

Fingerprint

Conway Polynomial
Rotor
Signature
Link Invariants
Characteristic polynomial
Mutation
Generalization

Keywords

  • Branched cover
  • Conway polynomial
  • Goeritz form
  • Jones polynomial
  • Link
  • Mutation
  • Rotor
  • Seifert form
  • Signature

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Da̧bkowski, M. K., Ishiwata, M., Przytycki, J. H., & Yasuhara, A. (2004). Signature of rotors. Fundamenta Mathematicae, 184(1-3), 79-97.

Signature of rotors. / Da̧bkowski, Mieczysław K.; Ishiwata, Makiko; Przytycki, Józef H.; Yasuhara, Akira.

In: Fundamenta Mathematicae, Vol. 184, No. 1-3, 01.12.2004, p. 79-97.

Research output: Contribution to journalArticle

Da̧bkowski, MK, Ishiwata, M, Przytycki, JH & Yasuhara, A 2004, 'Signature of rotors', Fundamenta Mathematicae, vol. 184, no. 1-3, pp. 79-97.
Da̧bkowski MK, Ishiwata M, Przytycki JH, Yasuhara A. Signature of rotors. Fundamenta Mathematicae. 2004 Dec 1;184(1-3):79-97.
Da̧bkowski, Mieczysław K. ; Ishiwata, Makiko ; Przytycki, Józef H. ; Yasuhara, Akira. / Signature of rotors. In: Fundamenta Mathematicae. 2004 ; Vol. 184, No. 1-3. pp. 79-97.
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