2 citations · 8 across the 12 of their papers we have counts for
12 papers
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…
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…
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…
Classification of -component virtual links up to -moves
Jean-Baptiste Meilhan, Shin Satoh, Kodai Wada
The -move is a local move generated by forbidden moves in virtual knot theory. This move was introduced by Taniguchi and the second author, who showed that it characterizes the…
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…
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…
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…
Burnside groups and -moves for links
Haruko A. Miyazawa, Kodai Wada, Akira Yasuhara
Let be a positive integer. M. K. Dabkowski and J. H. Przytycki introduced the th Burnside group of links which is preserved by -moves, and proved that for any odd prime $…
Link invariants derived from multiplexing of crossings
Haruko A. Miyazawa, Kodai Wada, Akira Yasuhara
We introduce the multiplexing of a crossing, replacing a classical crossing of a virtual link diagram with multiple crossings which is a mixture of classical and virtual. For integ…
Milnor invariants of covering links
Natsuka Kobayashi, Kodai Wada, Akira Yasuhara
We consider Milnor invariants for certain covering links as a generalization of covering linkage invariants formulated by R. Hartley and K. Murasugi. A set of Milnor invariants for…
The Milnor invariants of clover links
Kodai Wada, Akira Yasuhara
J.P. Levine introduced a clover link to investigate the indeterminacy of the Milnor invariants of a link. It is shown that for a clover link, the Milnor numbers of length at most $…
Milnor invariants and edge-homotopy classification of clover links
Kodai Wada
Given a clover link, we construct a bottom tangle by using a disk/band surface of the clover link. Since the Milnor number is already defined for a bottom tangle, we define the Mil…