activity
20152021
most citedClassification of string links up to -moves and link-homotopy

2 citations · 3 across the 7 of their papers we have counts for

collaborators

10 papers

math.GT2021

CF-moves for virtual links

Kodai Wada

Oikawa defined an unknotting operation on virtual knots, called a CF-move, and gave a classification of 2-component virtual links up to CF-moves by the virtual linking number and h…

math.GT2020

The Dabkowski-Sahi invariant and -moves for links

Haruko A. Miyazawa, Kodai Wada, Akira Yasuhara

Dabkowski and Sahi defined an invariant of a link in the -sphere, which is preserved under -moves. This invariant is a quotient of the fundamental group of the complement of…

math.GT2020

Combinatorial approach to Milnor invariants of welded links

Haruko A. Miyazawa, Kodai Wada, Akira Yasuhara

For a classical link, Milnor defined a family of isotopy invariants, called Milnor -invariants. Recently, Chrisman extended Milnor -invariants to welded lin…

math.GT2019

Milnor invariants, -moves and -moves for welded string links

Haruko A. Miyazawa, Kodai Wada, Akira Yasuhara

In a previous paper, the authors proved that Milnor link-homotopy invariants modulo classify classical string links up to -move and link-homotopy. As analogues to the welde…

math.GT20192 cited

Classification of string links up to -moves and link-homotopy

Haruko A. Miyazawa, Kodai Wada, Akira Yasuhara

Two string links are equivalent up to -moves and link-homotopy if and only if their all Milnor link-homotopy invariants are congruent modulo . Moreover, the set of the equiv…

math.GT2018

Generalized virtualization on welded links

Haruko A. Miyazawa, Kodai Wada, Akira Yasuhara

Let be a positive integer. The aim of this paper is to study two local moves and on welded links, which are generalizations of the crossing virtualization. We sh…