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Jul 10, 2017 at 19:08 history edited Benoît Kloeckner CC BY-SA 3.0
added 500 characters in body
Jul 10, 2017 at 19:03 comment added Benoît Kloeckner @MikhailKatz: you might be right, but it mostly comes down on what the question precisely is. Also, in the process some blue region disappears at some point (in the symmetric position, there are three blue regions).
Jul 10, 2017 at 15:37 comment added Selim G Hi! It is not obvious to me that I can deform the original embedding into yours. Should it be? Also, I have the impression that at some point (when you do the turn by one third and the inverse map) you are moving from a continuous motion to precomposing the embedding by a diffeomorphism of $\Sigma$ which is not isotopic to the identity, right?
Jul 10, 2017 at 15:29 comment added Mikhail Katz Benoit, if I understood your answer correctly, you are moving the blue region elsewhere rather than getting rid of it!
Jul 10, 2017 at 15:27 history answered Benoît Kloeckner CC BY-SA 3.0