Classification of string links up to $2n$-moves and link-homotopy
Geometric Topology
2019-02-19 v1
Abstract
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 equivalence classes forms a finite group generated by elements of order . The classification induces that if two string links are equivalent up to -moves for every , then they are link-homotopic.
Cite
@article{arxiv.1902.06079,
title = {Classification of string links up to $2n$-moves and link-homotopy},
author = {Haruko A. Miyazawa and Kodai Wada and Akira Yasuhara},
journal= {arXiv preprint arXiv:1902.06079},
year = {2019}
}
Comments
16 pages, 8 figures