2009/06/11 by Cam Van Quach Hongler, Hongler, Cam Van Quach, Claude Weber +1
Mathematics · #57M #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M
paper · pdf · doi:10.48550/arxiv.0906.2059
arxiv created 2009/06/11 · arxiv updated 2009/12/01
Let Πbe a link projection in S2. John Conway and later Francis Bonahon and Larry Siebenmann undertook to split Π into canonical pieces. These pieces received different names: basic or polyhedral diagrams on one hand, rational, algebraic, bretzel, arborescent diagrams on the other hand. This paper proposes a thorough presentation of the theory, known to happy fews. We apply the existence and uniqueness theorem for the canonical decomposition to the classification of Haseman circles and to the localisation of the flypes.