2 papers
math.GT2026
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…
math.GT2026
Structure and unique factorization in concordance groups of links
Kouki Sato, Akira Yasuhara
Donald and Owens introduced two link concordance groups with a marked component and showed that they contain the knot concordance group as a direct summand with infinitely generate…