Milnor invariants, $2n$-moves and $V^n$-moves for welded string links

Abstract

In a previous paper, the authors proved that Milnor link-homotopy invariants modulo $n$ classify classical string links up to $2n$-move and link-homotopy. As analogues to the welded case, in terms of Milnor invariants, we give here two classifications of welded string links up to $2n$-move and self-crossing virtualization, and up to $V^n$-move and self-crossing virtualization, respectively.

16 pages, 18 figures. arXiv admin note: text overlap with arXiv:1902.06079

References in corpus (1)

• Classification of string links up to $2n$-moves and link-homotopy