4 papers · 1 filter
A lower bound for the number of Reidemeister moves of type III
J. Scott Carter, Mohamed Elhamdadi, Masahico Saito +1
We study the number of Reidemeister type III moves using Fox n-colorings of knot diagrams.
Ribbon concordance of surface-knots via quandle cocycle invariants
J. Scott Carter, Masahico Saito, Shin Satoh
We give necessary conditions of a surface-knot to be ribbon concordant to another, by introducing a new variant of the cocycle invariant of surface-knots in addition to using the i…
Bordism of Unoriented Surfaces in 4-Space
J. Scott Carter, Seiichi Kamada, Masahico Saito +1
The group of bordism classes of unoriented surfaces in 4-space is determined. The bordism classes are characterized by normal Euler numbers,double linking numbers, and triple linki…
Triple Linking of Surfaces in 4-Space
J. Scott Carter, Seiichi Kamada, Masahico Saito +1
Triple linking numbers were defined for 3-component oriented surface-links in 4-space using signed triple points on projections in 3-space. In this paper we give an algebraic formu…