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Aug 9, 2012 at 23:45 comment added Scott Carter @Daniel, I think that the idea of welded knots originated with Roger Fenn and/or Colin Rourke. Welded knots give rise to knotted ribbon tori in 4-space. This idea was found by Silver and Shin Satoh, but it is no surprise given that welded knots are related to the mapping class group of circles in space.
Aug 9, 2012 at 21:46 vote accept muta yasushi
Aug 9, 2012 at 21:46 comment added muta yasushi Thanks! ''Moving something across a virtual crossing makes no sense", which made me understand geometrically!
Aug 9, 2012 at 20:04 history answered Daniel Moskovich CC BY-SA 3.0