formality and the lefschetz property in symplectic and cosymplectic geometry

formality and the lefschetz property in symplectic and cosymplectic geometry

;Bazzoni Giovanni;Fernández Marisa;Muñoz Vicente
The journal of contemporary dental practice 2015 Vol. 2 pp. -
137
giovanni2015complexformality

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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