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June 2021 Milnor Invariants, $2n$-moves and $V^{n}$-moves for Welded String Links
Haruko A. MIYAZAWA, Kodai WADA, Akira YASUHARA
Tokyo J. Math. 44(1): 49-68 (June 2021). DOI: 10.3836/tjm/1502179315

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.

Citation

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Haruko A. MIYAZAWA. Kodai WADA. Akira YASUHARA. "Milnor Invariants, $2n$-moves and $V^{n}$-moves for Welded String Links." Tokyo J. Math. 44 (1) 49 - 68, June 2021. https://doi.org/10.3836/tjm/1502179315

Information

Published: June 2021
First available in Project Euclid: 20 July 2020

Digital Object Identifier: 10.3836/tjm/1502179315

Subjects:
Primary: 57M25
Secondary: 57M27

Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics

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Vol.44 • No. 1 • June 2021
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