Formality and the Lefschetz property in symplectic and cosymplectic geometry
classification
🧮 math.SG
math.ATmath.DG
keywords
ahlercosymplecticsymplecticcaseformalitylefschetzmanifoldsproperty
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We review topological properties of K\"ahler and symplectic manifolds, and of their odd-dimensional counterparts, coK\"ahler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-connected case (in the K\"ahler/symplectic situation) and the $b_1=1$ case (in the coK\"ahler/cosymplectic situation).
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