formality and the lefschetz property in
symplectic and cosymplectic geometry
;Bazzoni Giovanni;Fernández Marisa;Muñoz Vicente
The journal of contemporary dental practice2015Vol. 2pp. -
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).