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).
@article{bwmeta1.element.doi-10_1515_coma-2015-0006,
author = {Giovanni Bazzoni and Marisa Fern\'andez and Vicente Mu\~noz},
title = {Formality and the Lefschetz property in symplectic and cosymplectic geometry},
journal = {Complex Manifolds},
volume = {2},
year = {2015},
zbl = {1327.53029},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_coma-2015-0006}
}
Giovanni Bazzoni; Marisa Fernández; Vicente Muñoz. Formality and the Lefschetz property in symplectic and cosymplectic geometry. Complex Manifolds, Tome 2 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_coma-2015-0006/
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