See my previous question [here][1]. > Let $M$ be a smooth closed simply-connected $4$-manifold with $w_1 = w_2 = 0$. Can $TM$ be trivialized in the complement of a point? This was answered in the affirmative. My question now is, is it possible to conclude in some way from Smale's immersion theorem that $M - p$ admits a symplectic structure, where $p$ is a point? I see how to do it with Gromov's $h$-principal, but not with Smale's immersion theorem. [1]: http://mathoverflow.net/questions/232215/tangent-bundle-of-smooth-closed-simply-connected-4-manifold-w-1-w-2-0-ca