Original Article
Kyungpook Mathematical Journal 2007; 47(2): 295-309
Published online June 23, 2007
Copyright © Kyungpook Mathematical Journal.
The Seifert Matrices of Periodic Links with Rational Quotients
Sang Youl Lee1, Maeng-Sang Park2, Myoungsoo Seo3
1Department of Mathematics, Pusan National University, Pusan 609-735, Korea
2Department of Mathematics, Graduate School of Natural Sciences, Pusan National University, Pusan 609-735, Korea
3Department of Mathematics, Pusan National University, Pusan 609-735, Korea
In this paper, we characterize the Seifert matrices of $p$-periodic links whose quotients are $2$-bridge links $C(2, n_1, -2, n_2, cdots, n_r, (-2)^r)$ and give formulas for the signatures and determinants of the $3$-periodic links of these kind in terms of $n_1, n_2, cdots, n_r$.
Keywords: signature, determinant, Seifert matrix, periodic link, 2-bridge link, tridiagonal matrix