Formality and the Lefschetz property in symplectic and cosymplectic geometry

Abstract

We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-connected case (in the Kähler/symplectic situation) and the b1 = 1 case (in the coKähler/cosymplectic situation).

Keywords

• 53C15
• 55S30
• 53D35
• 55P62
• 57R17