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Apr 9, 2010 at 19:37 vote accept Hailong Dao
Apr 5, 2010 at 18:56 comment added Ryan Budney $z_1^p+z_2^q=0$ thought of as an equation on $\mathbb C^2$, intersect with the unit sphere. They're the torus links. I think it takes a fair bit of work for a typical undergrad to go from that to producing a diagram.
Apr 5, 2010 at 18:48 comment added Hailong Dao Thanks Ryan, that is interesting. In fact, it brings another question: are there some accessible examples of knots people want to study but can't easily draw diagrams? It would be nice to tell my class about them, since so far we always think of a knot is a diagram. (I am not sure I can explain JSJ-decomposition very well (-: )
Apr 5, 2010 at 18:19 history answered Ryan Budney CC BY-SA 2.5