The 2-twist-spun trefoil has the triple point number four

By Shin Satoh, A. Shima. 2003

74 citations recorded by the source corpus.

Subfields: Computer Graphics and Computer-Aided Design, Computer Vision and Pattern Recognition, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/982e01fb6ff262e6ad6019f6964cfb9ce491db7c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Graphics and Computer-Aided Design

1. S. Kamada
2. Kanako Oshiro

In Computer Vision and Pattern Recognition

1. S. Kamada
2. Kanako Oshiro

In Geometry and Topology

1. J. Scott Carter
2. Mohamed Elhamdadi
3. Masahico Saito
4. S. Kamada
5. Kanako Oshiro
6. M. Graña
7. Louis H. Kauffman
8. Victoria Lebed

Citations in the corpus

• Homology Groups of Symmetric Quandles and Cocycle Invariants of Links and Surface-links (2009, methodology): “As Φ θ can be used to estimate the minimal triple point numbers of oriented surface-links [25, 26], we can use Φθ to estimate those of non-orientable surface-links (Theorem 8.”
• Cocycle knot invariants from quandle modules and generalized quandle homology (2003, background): “Two types of topological applications of cocycle knot invar iants have been established and are being investigated actively: non-invert ibility [10, 39] and the minimal triple point numbers [40] of knotted surfaces.”