Formality and the Lefschetz property in symplectic and cosymplectic geometry

2015/04/09 by Bazzoni, Giovanni, Fernández, Marisa, Muñoz, Vicente
#53C15 #53D35 #55P62 #55S30 #57R17 #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1504.02451

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).

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