2011/03/22 by Sofia Lambropoulou, Lambropoulou, Sofia
Mathematics · Medicine · #57M25 #57M27 #57N10 #Botulinum Toxin and Related Neurological Disorders #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M25 #msc:57M27 #msc:57N10
paper · pdf · doi:10.48550/arxiv.1103.4397
32 pages, 40 figures
arxiv created 2011/03/22 · openalex publication_date 2011/03/22 · arxiv updated 2011/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this survey paper we present the L--moves between braids and how they can adapt and serve for establishing and proving braid equivalence theorems for various diagrammatic settings, such as for classical knots, for knots in knot complements, in c.c.o. 3--manifolds and in handlebodies, as well as for virtual knots, for flat virtuals, for welded knots and for singular knots. The L--moves are local and they provide a uniform ground for formulating and proving braid equivalence theorems for any diagrammatic setting where the notion of braid and diagrammatic isotopy is defined, the statements being first geometric and then algebraic.