3 papers
math.GT2024
Twist spun knots of twist spun knots of classical knots
Mizuki Fukuda, Masaharu Ishikawa
A -twist spun knot is an -dimensional knot in the -dimensional sphere which is obtained from an -dimensional knot in the -dimensional sphere by applying an ope…
math.GT2024
Construction of weaving and polycatenane motifs from periodic tilings of the plane
Mizuki Fukuda, Motoko Kotani, Sonia Mahmoudi
Doubly periodic (DP) weaves and polycatenanes are complex entangled structures embedded in the Euclidean thickened plane, invariant under translations in two independent directions…
math.GT2024
Distinguishing 2-knots admitting circle actions by fundamental groups
Mizuki Fukuda, Masaharu Ishikawa
A 2-sphere embedded in the 4-sphere invariant under a circle action is called a branched twist spin. A branched twist spin is constructed from a 1-knot in the 3-sphere and a pair o…