2015/03/24 by Marina Ville, Ville, Marina
Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory
paper · pdf · doi:10.48550/arxiv.1503.07229
We desingularize a branch point p of a minimal disk F0(\mathbbD) in ℝ4 through immersions Ft's which have only transverse double points and are branched covers of the plane tangent to F0(\mathbbD) at p. If F0 is a topological embedding and thus defines a knot in a sphere/cylinder around the branch point, the data of the double points of the Ft's give us a braid representation of this knot as a product of bands.