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pro vyhledávání: '"Fukuda, Mizuki"'
Autor:
Fukuda, Mizuki, Ishikawa, Masaharu
A $k$-twist spun knot is an $n+1$-dimensional knot in the $n+3$-dimensional sphere which is obtained from an $n$-dimensional knot in the $n+2$-dimensional sphere by applying an operation called a $k$-twist-spinning. This construction was introduced b
Externí odkaz:
http://arxiv.org/abs/2409.00650
Autor:
Fukuda, Mizuki, Ishikawa, Masaharu
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 of coprime integers uniquely. In this paper, we study, for each pair of
Externí odkaz:
http://arxiv.org/abs/2304.06276
Autor:
Fukuda, Mizuki
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 corresponding to a regular orbit of the circle action and a certain relator. In pa
Externí odkaz:
http://arxiv.org/abs/2209.11583
Doubly periodic (DP) weaves and polycatenanes are complex entangled structures embedded in the Euclidean thickened plane, invariant under translations in two independent directions. Their topological properties are fully encoded within a quotient spa
Externí odkaz:
http://arxiv.org/abs/2206.12168
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 organization of the non-intersecting curves, together with a set of cro
Externí odkaz:
http://arxiv.org/abs/2202.01755
This paper introduces a new systematic algorithm for constructing periodic Euclidean weaving diagrams with combinatorial arguments. It is shown that such a weaving diagram can be considered as a specific type of four-regular periodic planar tiling wi
Externí odkaz:
http://arxiv.org/abs/2108.09464
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Autor:
Fukuda, Mizuki
The union of singular orbits of an effective locally smooth circle action on the 4-sphere consists of two 2-knots, $K$ and $K^{\prime}$, intersecting at two points transversely. Each of $K$ and $K^{\prime}$ is called a branched twist spin. A twist sp
Externí odkaz:
http://arxiv.org/abs/1811.05109
Autor:
Fukuda, Mizuki
An $(m,n)$-branched twist spin is a fibered $2$-knot in $S^4$ which is determined by a $1$-knot $K$ and coprime integers $m$ and $n$. For a $1$-knot, Lin proved that the number of irreducible $SL(2,\mathbb{C})$-metabelian representations of the knot
Externí odkaz:
http://arxiv.org/abs/1704.08923
Autor:
Fukuda, Mizuki
A branched twist spin is a generalization of twist spun knots, which appeared in the study of locally smooth circle actions on the $4$-sphere due to Montgomery, Yang, Fintushel and Pao. In this paper, we give a sufficient condition to distinguish non
Externí odkaz:
http://arxiv.org/abs/1604.08828