Zobrazeno 1 - 10
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pro vyhledávání: '"Ito, Tetsuya"'
Autor:
Ito, Tetsuya
The genus non-increasing totally positive unknotting number is the minimum number of crossing changes that transform a knot into the unknot, such that all the crossing changes are positive-to-negative crossing changes that do not increase the genus.
Externí odkaz:
http://arxiv.org/abs/2406.14918
Autor:
Ito, Tetsuya
A link in $S^{3}$ is a fully positive braid link if it is the closure of a positive braid that contains at least one full-twist. We show that a fully positive braid link is a satellite link if and only if it is the satellite of a fully positive braid
Externí odkaz:
http://arxiv.org/abs/2402.01129
Autor:
Ito, Tetsuya
We show that there are no distance one surgeries on non-null-homologous knots in $M$ that yield $-M$ ($M$ with opposite orientation) if $M$ is a 3-manifold obtained by a Dehn surgery on a knot $K$ in $S^{3}$, such that the order of its first homology
Externí odkaz:
http://arxiv.org/abs/2311.08676
Autor:
Ito, Tetsuya
We prove that a positive two-bridge knot other than the $(2,k)$ torus knot does not admit chirally cosmetic surgeries, a pair of Dehn surgeries along distinct slopes yielding orientation-reversingly homeomorphic 3-manifolds.
Comment: 18 pages, 1
Comment: 18 pages, 1
Externí odkaz:
http://arxiv.org/abs/2311.02829
Autor:
Ito, Tetsuya
A non-trivial element of a group is a generalized torsion element if some products of its conjugates is the identity. The minimum number of such conjugates is called a generalized torsion order. We provide several restrictions for generalized torsion
Externí odkaz:
http://arxiv.org/abs/2310.02577
Each $r$--Dehn filling of the exterior $E(K)$ of a knot $K$ in $S^3$ produces a $3$--manifold $K(r)$, and induces an epimorphism from the knot group $G(K) = \pi_1(E(K))$ to $\pi_1(K(r))$, which trivializes elements in its kernel. To each element $g \
Externí odkaz:
http://arxiv.org/abs/2303.15738
Autor:
Ito, Tetsuya
We show that a group whose generalized torsion elements are torsion elements (which we call a $TR^{*}$-group) is torsion-by-$R^{*}$ group, an extension of torsion group by a group without generalized torsion elements. We also discuss a generalized to
Externí odkaz:
http://arxiv.org/abs/2303.05726
Autor:
Ito, Tetsuya
We show that a special alternating knot with sufficiently large number (more than $63$) of twist regions has no chirally cosmetic surgeries, a pair of Dehn surgeries producing orientation-reversingly homeomorphic $3$-manifolds. In the course of proof
Externí odkaz:
http://arxiv.org/abs/2301.09855
Autor:
Ito, Tetsuya
Publikováno v:
Acta Math. Hungar.169(2023), no.2, 553-561
A knot $K$ is called $(m,n)$-fertile if for every prime knot $K'$ whose crossing number is less than or equal to $m$, there exists an $n$-crossing diagram of $K$ such that one can get $K'$ from the diagram by changing its over-under information. We g
Externí odkaz:
http://arxiv.org/abs/2210.11067
Autor:
Ito, Tetsuya, Stoimenow, Alexander
As an extension of positive and almost positive diagrams and links, we study two classes of links we call successively almost positive and weakly successively almost positive links. We prove various properties of polynomial invariants and signatures
Externí odkaz:
http://arxiv.org/abs/2208.10728