5 papers
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…
Representations of branched twist spins with a non-trivial center of order 2
Mizuki Fukuda
It is known that a presentation of the knot group of a branched twist spin is obtained from a Wirtinger presentation of the original 1-knot group by adding a generator correspondin…
Classification of doubly periodic untwisted (p,q)-weaves by their crossing number
Mizuki Fukuda, Motoko Kotani, Sonia Mahmoudi
A weave is the lift to the Euclidean thickened plane of a set of infinitely many planar crossed geodesics, that can be characterized by a number of sets of threads describing the o…
Gluck twists along 2-knots with periodic monodromy
Mizuki Fukuda
The union of singular orbits of an effective locally smooth circle action on the 4-sphere consists of two 2-knots, and , intersecting at two points transversely. Ea…
Branched twist spins and knot determinants
Mizuki Fukuda
A branched twist spin is a generalization of twist spun knots, which appeared in the study of locally smooth circle actions on the -sphere due to Montgomery, Yang, Fintushel and…