With a little more care this reconstruction process can be made in the symplectic category, i.e. the result $W$ of gluing can be given a natural symplectic structure. This is due to the following two reasons. The first one is that the pair-of-pants possesses a natural symplectic structure (the one which gives the standard symplectic ${\mathbb{C}}{\mathbb{P}}^{n}$ after the symplectic reduction of the boundary). The second one is that two pairs-of-pants get identified along a part $F$ of their boundary which is a symplectically flat hypersurface, it has a neighborhood $F\times[0,1]$ symplectically isomorphic to $Q_{n-1}\times A$, where $A\subset\mathbb{C}^{*}$ is an annulus. This product is consistent with the $S^{1}$-fibration $F\to Q_{n-1}$ from Proposition 1.24.