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Slides of the plenary talk by Samuel Lomonaco - GW Links

Slides of the plenary talk by Samuel Lomonaco - GW Links

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Reidemeister MovesMidsectionMoves on2-KnotsYoshikawa MovesThe Geometry <strong>of</strong> Group PresentationsTheorem(Yoshikawa).The Reidemeisterand Yoshikawa moves on <strong>the</strong> midsectionrepresentation <strong>of</strong> a 2-knot preserve knottype.Theorem(Swenton/Keartin/Kurlin).Two 2-knot midsections represent <strong>the</strong> same 2-knotiff <strong>the</strong>re is a finite sequence <strong>of</strong> Reidemeisterand Yoshikawa moves which transforms oneinto <strong>the</strong> o<strong>the</strong>r.The Geometry <strong>of</strong> Group PresentationsThe WirtingerGeneralized Presentation<strong>of</strong>2-Knots ???UPOutDown12

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