On the realization of symplectic algebras and rational homotopy types by closed symplectic manifolds

@inproceedings{Milivojevi2020OnTR,
  title={On the realization of symplectic algebras and rational homotopy types by closed symplectic manifolds},
  author={Aleksandar Milivojevi{\'c}},
  year={2020}
}
We answer a question of Oprea-Tralle on the realizability of symplectic algebras by symplectic manifolds in dimensions divisible by four, along with a question of Lupton-Oprea in all even dimensions. This will also allow us to address, in all even dimensions six and higher, another question of Oprea-Tralle on the possibility of algebraic conditions on the rational homotopy minimal model of a closed smooth manifold implying the existence of a symplectic structure on the manifold. 
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