M. Fernández

most citedNon-formal compact manifolds with small Betti numbers

9 citations · 9 across the 3 of their papers we have counts for

collaborators

3 papers

math.AT2005★ 9 cited

Non-formal compact manifolds with small Betti numbers

Marisa Fernandez, Vicente Muñoz

We show that, for any $k \geq 1$ , there exist non-formal compact orientable $(k - 1)$ -connected $n$ -manifolds with $k$ -th Betti number $b_{k} = b \geq 0$ if and only if $n\geq \max \{4k-1,…

math.DG2004

The Geography of Non-formal Manifolds

Marisa Fernandez, Vicente Munoz

We show that there exist non-formal compact oriented manifolds of dimension $n$ and with first Betti number $b_{1} = b \geq 0$ if and only if $n \geq 3$ and $b \geq 2$ , or $n \geq (7 - 2 b)$ …

math.SG2004

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…