We consider various constructions of monotone Lagrangian submanifolds of $C P^n, S^2\times S^2$, and quadric hypersurfaces of $C P^n$. In $S^2\times S^2$ and $C P^2$ we show that several different known constructions of exotic monotone tori yield results that are Hamilt... View more
Finally we show that ΨP is a symplectomorphism to its image. Given what we have already done, this will follow once we show that where α = Pin=0 x j d yj ∈ Ω1(Cn+1) and λ ∈ Ω1(D1∗Sn) is the canonical one-form, we have ( Ψ˜P)∗α = λ. Now for (p, q) ∈ D1∗Sn,
1 = X pj dqj + X pjqj p f (|p|)d p f (|p|) = X pj dqj
j j j 0 e−it
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