Signature of rotors

Mieczysław K. Dąbkowski, et al. "Signature of rotors." Fundamenta Mathematicae 184.1 (2004): 79-97. <http://eudml.org/doc/282784>.

@article{MieczysławK2004,
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.},
author = {Mieczysław K. Dąbkowski, Makiko Ishiwata, Józef H. Przytycki, Akira Yasuhara},
journal = {Fundamenta Mathematicae},
keywords = {link; mutation; rotor; signature; Seifert form; Goeritz form; Conway polynomial},
language = {eng},
number = {1},
pages = {79-97},
title = {Signature of rotors},
url = {http://eudml.org/doc/282784},
volume = {184},
year = {2004},
}

TY - JOUR
AU - Mieczysław K. Dąbkowski
AU - Makiko Ishiwata
AU - Józef H. Przytycki
AU - Akira Yasuhara
TI - Signature of rotors
JO - Fundamenta Mathematicae
PY - 2004
VL - 184
IS - 1
SP - 79
EP - 97
AB - 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.
LA - eng
KW - link; mutation; rotor; signature; Seifert form; Goeritz form; Conway polynomial
UR - http://eudml.org/doc/282784
ER -