4 papers
Milnor Invariants --From classical links to surface-links, and beyond--
Akira Yasuhara
This is an English translation of the expository article written by the author in Japanese for publication in {\em Sugaku}. The author will explain Milnor invariants from the viewp…
The classification of links up to clasp-pass moves
Jean-Baptiste Meilhan, Akira Yasuhara
We give a complete classification of links up to clasp-pass moves, which coincides with Habiro's -equivalence. We also classify links up to band-pass and band-# moves, which a…
Higher order Kirk invariants of link maps
Benjamin Audoux, Jean-Baptiste Meilhan, Akira Yasuhara
We define numerical link-homotopy invariants of link maps of any number of components, which naturally generalize the Kirk invariant. The Kirk invariant is a link-homotopy invarian…
Welded graphs, Wirtinger groups and knotted punctured spheres
Benjamin Audoux, Jean-Baptiste Meilhan, Akira Yasuhara
We develop a general diagrammatic theory of welded graphs, and provide an extension of Satoh's Tube map from welded graphs to ribbon surface-links. As a topological application, we…