2022/05/10 by Benjamin Audoux, Audoux, Benjamin, Jean–Baptiste Meilhan +3
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2205.04768
openalex publication_date 2022/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We characterize, in an algebraic and in a diagrammatic way, Milnor string link invariants indexed by sequences where any index appears at most k times, for any fixed k≥ 1. The algebraic characterization is given in terms of an Artin-like action on the so-called k-reduced free groups; the diagrammatic characterization uses the langage of welded knot theory. The link case is also addressed.