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math.GT2024
Positive Artin Presentations
Lorena Armas-Sanabria, Mario Eudave-Muñoz, Juan Pablo Díaz-González +1
An integral framed, closed pure n-braid B' in the 3-sphere describes a positive Artin presentation, if the braid B can be put on a disk with holes such that each relation describes…
math.GT2024
A Kuratowski-Type Classification of Critical Complexes for the 3-Sphere
Mario Eudave-Muñoz, Makoto Ozawa
We give a Kuratowski-type classification of a graph-defined class of minimal piecewise-linear obstructions to embeddability in the 3-sphere. A finite simplicial complex \(X\) is ca…