Luca F. Di Cerbo, Alexander Dranishnikov, Ekansh Jauhari
Abstract
We construct examples of totally symplectically aspherical Kaehler manifolds with non-trivial second homotopy group in every even dimension greater than or equal to six. In dimension four, we construct examples of totally c-symplectically aspherical near-symplectic manifolds with non-trivial second homotopy group.