37 citations · 174 across the 33 of their papers we have counts for
37 papers
Combinatorial link concordance using cut-diagrams
Benjamin Audoux, Jean-Baptiste Meilhan, Akira Yasuhara
Cut-diagrams are diagrammatic objects, defined in dimensions 1 and 2, that generalize links in 3-space and surface-links in 4-space; in dimension 1, this coincides with the theory…
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…
k-reduced groups and Milnor invariants
Benjamin Audoux, Jean-Baptiste Meilhan, Akira Yasuhara
We characterize, in an algebraic and in a diagrammatic way, Milnor string link invariants indexed by sequences where any index appears at most times, for any fixed . Th…
On finite type invariants of welded string links and ribbon tubes
Adrien Casejuane, Jean-Baptiste Meilhan
Welded knotted objects are a combinatorial extension of knot theory, which can be used as a tool for studying ribbon surfaces in -space. A finite type invariant theory for ribbo…