Akita University

most citedA partial order on the set of prime knots with up to 11 crossings

4 citations

researchers with a paper here

Keiichi Horie1
Mahito Kobayashi1
Masaaki Suzuki1
Mineko Matsumoto1
Teruaki Kitano1

collaborating institutions

Denka (Japan)JP1 paper
Soka UniversityJP1 paper

2 papers

math.GT2009★ 4 cited

A partial order on the set of prime knots with up to 11 crossings

Keiichi Horie, Teruaki Kitano, Mineko Matsumoto +1

Let $K$ be a prime knot in $S^{3}$ and $G (K) = π_{1} (S^{3} - K)$ the knot group. We write $K_{1} \geq K_{2}$ if there exists a surjective homomorphism from $G (K_{1})$ onto $G (K_{2})$ . In this paper,…

math.GT2007

On the cusped fan in a planar portrait of a manifold

Mahito Kobayashi

A planar portrait of a manifold is the pair of the image and the critical values of the manifold through a stable map into the plane. It can be considerd a geometric representation…