Article
Kyungpook Mathematical Journal 2020; 60(2): 239-253
Published online June 30, 2020
Copyright © Kyungpook Mathematical Journal.
On Alexander Polynomials of Pretzel Links
Yongju Bae* and In Sook Lee
Department of Mathematics, Kyungpook National University, Daegu 41566, Republic of Korea
e-mail : ybae@knu.ac.kr and insooki1109@knu.ac.kr
Received: February 28, 2020; Accepted: June 15, 2020
In this paper, we will find a Seifert matrix for a class of pretzel links with a certain symmetry. Using the symmetry, we find formulae for the Alexander polynomials, determinants and signatures of the pretzel links.
Keywords: determinant of a matrix, Seifert matrix of a link, Alexander polynomial of a link, signatures of a link, pretzel link