79 citations · 176 across the 18 of their papers we have counts for
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Formality and the Lefschetz property in symplectic and cosymplectic geometry
Giovanni Bazzoni, Marisa Fernández, Vicente Muñoz
We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschet…
On non-formality of a simply-connected symplectic 8-manifold
Gil R. Cavalcanti, Marisa Fernandez, Vicente Munoz
We show an alternative construction of the first example of a simply-connected compact symplectic non-formal 8-manifold given in arXiv:math/0506449. We also give an alternative pro…
Symplectic resolutions, Lefschetz property and formality
Gil Cavalcanti, Marisa Fernandez, Vicente Munoz
We introduce a method to resolve a symplectic orbifold into a smooth symplectic manifold. Then we study how the formality and the Lefschetz property of the symplectic resolution ar…
Weakly Lefschetz symplectic manifolds
Marisa Fernandez, Vicente Munoz, Luis Ugarte
The harmonic cohomology of a Donaldson symplectic submanifold and of an Auroux symplectic submanifold are compared with that of its ambient space. We also study symplectic manifold…
Formality of Donaldson submanifolds
Marisa Fernández, Vicente Muñoz
We introduce the concept of s-formal minimal model as an extension of formality. We prove that any orientable compact manifold M, of dimension 2n or (2n-1), is formal if and only i…