Sam Lisi
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 Mar16 awarded Yearling Mar10 comment symplectic surfaces in 4-manifolds Off the top of my head, I would guess that if the $\omega$ area of the homology class is positive, you can probably find a symplectic representative, but I haven't thought enough about this. Let me know if this modification of your question is of interest. Mar10 answered symplectic surfaces in 4-manifolds Feb18 comment Symplectic manifold question. What part of this is unclear? Is it the notation? or is it the definition of this map $\Phi_p$? Feb18 awarded Custodian Feb18 comment Non-commutative symplectic geometry Do you have a reference for non-commutative symplectic geometry? I've never heard of this, and am curious. Dec1 comment Is this some kind of trick question? Submanifold “proof” What is your definition of submanifold? This is indeed a simple exercise once you have stated the correct calculus theorem. Sep24 awarded Autobiographer May17 answered When is symplectic pullback bundle trivial May16 awarded Revival Apr18 awarded Enlightened Apr18 awarded Nice Answer Apr6 comment Symplectic submanifolds in $\mathbb{R}^{4}$ @studiosus: your example isn't relevant to my claim because the punctured surface isn't a manifold with boundary. However, I think you are right that the actions on the boundary are relevant. I'll adjust my answer accordingly. Thank you. Apr5 comment Symplectic submanifolds in $\mathbb{R}^{4}$ @studiosus: Thank you for the corrected reference. In this case, since the surfaces are compact with boundary, I think it's possible to make some minor modifications to Moser so that it works. In particular, I believe you can modify Moser's proof by hand to make the flow of the vector field he constructs be defined up to time 1. Since that's the piece where compactness is necessary, I think everything else should carry through. Apr3 comment Symplectic submanifolds in $\mathbb{R}^{4}$ you didn't mention that you had cross-posted this to MO! Next time, be sure to mention it when you do, so we don't waste time duplicating effort. Apr3 answered Symplectic submanifolds in $\mathbb{R}^{4}$ Mar16 awarded Yearling Mar15 answered vector bundles and their cross-sections Mar15 comment Is $f(x)+\sum_{p,i=1,…,m}\lambda_{p,i}x_{p,i}(x)$ globally defined? Where is this question coming from? This seems pretty unmotivated. Mar15 answered What does it mean by saying that $u^n, J^n$ “$C^{\infty}$ converges” to u, J?