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arXiv · 1504.02451

Formality and the Lefschetz property in symplectic and cosymplectic geometry

Giovanni Bazzoni·Marisa Fernández·Vicente Muñoz
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Abstract

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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Giovanni Bazzoni, Marisa Fernández, Vicente Muñoz. 2015-04-09. Formality and the Lefschetz property in symplectic and cosymplectic geometry. https://arxiv.org/abs/1504.02451

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