Cut-diagrams and a Chen–Milnor presentation result for knotted surfaces

Benjamin Audoux (Aix-Marseille Université)

In this talk, I will introduce cut-diagrams, a combinatorial data which generalizes welded links to higher dimensions. Using them, I will give and discuss then Chen-Milnor presentations for the nilpotent and reduced fundamental groups of knotted surfaces. This is joint work in progress with J-B. Meilhan and A. Yasuhara.


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