V. Muñoz

activity

19972005

most citedNon-formal compact manifolds with small Betti numbers

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

collaborators

Showing 2005Show all

3 papers · 1 filter

math.SG2005

Symplectic nilmanifolds with a symplectic non-free $Z_{3}$ -action

Marisa Fernández, Vicente Muñoz

This paper expands some of the issues of the paper math.SG/0506449. We introduce a new technique to produce symplectic manifolds, by taking a symplectic non-free action of a finite…

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.SG2005

The $d δ$ --lemma for weakly Lefschetz symplectic manifolds

Marisa Fernández, Vicente Muñoz, Luis Ugarte

For a symplectic manifold $(M, ω)$ , not necessarily hard Lefschetz, we prove a version of the Merkulov $d δ$ --lemma. We also study the $d δ$ --lemma and related cohomologies for compac…

Symplectic nilmanifolds with a symplectic non-free Z3​-action

Non-formal compact manifolds with small Betti numbers

The dδ--lemma for weakly Lefschetz symplectic manifolds

Symplectic nilmanifolds with a symplectic non-free $Z_{3}$ -action

The $d δ$ --lemma for weakly Lefschetz symplectic manifolds