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

Kodai Wada (Kobe University)

In this talk, we give a necessary and sufficient condition for two string links to be equivalent up to -moves and link-homotopy in terms of Milnor invariants. This reveals a relation between Milnor invariants and -moves. This is a joint work with Haruko Miyazawa and Akira Yasuhara.