12 citations · 28 across the 7 of their papers we have counts for
7 papers
Various stabilities of the Alexander polynomials of knots and links
Mikami Hirasawa, Kunio Murasugi
In this paper, we study distribution of the zeros of the Alexander polynomials of knots and links in S^3. We call a knot or link "real stable" (resp. "circular stable") if all the…
On zeros of the Alexander polynomial of an alternating knot
Lilya Lyubich, Kunio Murasugi
We prove that for any zero α of the Alexander polynomial of a two-bridge knot, -3 < Re(α) < 6. Furthermore, for a large class of two-bridge knots we prove -1<Re(α).
Twisted Alexander polynomials of 2-bridge knots associated to metabelian representations
Mikami Hirasawa, Kunio Murasugi
Suppose the knot group G(K) of a knot K has a non-abelian representation ρon A_4 \subset GL(4,Z). We conjecture that the twisted Alexander polynomial of K associated to ρis of the…
Twisted Alexander polynomials of 2-bridge knots associated to metacyclic representations
Mikami Hirasawa, Kunio Murasugi
Let p be an odd prime and D_p a dihedral group of order 2p. Let ρ: G(K) --> D_p --> GL(p,Z) be a non-abelian representation of the knot group G(K) of a knot K in 3-sphere. Let Δ_{ρ…
Fibred torti-rational knots
M. Hirasawa, K. Murasugi
A torti-rational knot, denoted by K(2a,b|r), is a knot obtained from the 2-bridge link B(2a,b) by applying Dehn twists an arbitrary number of times, r, along one component of B(2a,…
Evaluations of the twisted Alexander polynomials of 2-bridge knots at
Mikami Hirasawa, Kunio Murasugi
Let be the set of 2-bridge knots whose group is mapped onto a non-trivial free product, , being odd. Then there is an algebraic integer such tha…