English

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

Geometric Topology 2019-03-04 v1

Abstract

In a previous paper, the authors proved that Milnor link-homotopy invariants modulo nn classify classical string links up to 2n2n-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 2n2n-move and self-crossing virtualization, and up to VnV^{n}-move and self-crossing virtualization, respectively.

Keywords

Cite

@article{arxiv.1903.00347,
  title  = {Milnor invariants, $2n$-moves and $V^{n}$-moves for welded string links},
  author = {Haruko A. Miyazawa and Kodai Wada and Akira Yasuhara},
  journal= {arXiv preprint arXiv:1903.00347},
  year   = {2019}
}

Comments

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