K. Murasugi

most citedEvaluations of the twisted Alexander polynomials of 2-bridge knots at

\pm 1

4 citations · 5 across the 3 of their papers we have counts for

collaborators

Showing math.GTShow all

3 papers · 1 filter

math.GT2008★ 1 cited

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,…

math.GT2008★ 4 cited

Evaluations of the twisted Alexander polynomials of 2-bridge knots at $\pm 1$

Mikami Hirasawa, Kunio Murasugi

Let $H (p)$ be the set of 2-bridge knots $K$ whose group $G$ is mapped onto a non-trivial free product, $Z /2 * Z / p$ , $p$ being odd. Then there is an algebraic integer $s_{0}$ such tha…

math.GT2007

When does a satellite knot fiber?

Mikami Hirasawa, Kunio Murasugi, Daniel S. Silver

Necessary and sufficient conditions are given for a satellite knot to be fibered. Any knot $k ~$ embeds in an unknotted solid torus $V ~$ with arbitrary winding number in…

Fibred torti-rational knots

Evaluations of the twisted Alexander polynomials of 2-bridge knots at ±1

When does a satellite knot fiber?

Evaluations of the twisted Alexander polynomials of 2-bridge knots at $\pm 1$