Vicente Muñoz

most citedNon-formal compact manifolds with small Betti numbers

9 citations · 9 across the 7 of their papers we have counts for

collaborators

7 papers

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…

math.SG2004

Lagrangian submanifolds and Lefschetz pencils

Denis Auroux, Vicente Muñoz, Francisco Presas

Given a Lagrangian submanifold in a symplectic manifold and a Morse function on the submanifold, we show that there is an isotopic Morse function and a symplectic Lefschetz pencil…

math.AG2004

On the geometry of moduli spaces of coherent systems on algebraic curves

S. Bradlow, O. Garcia-Prada, V. Mercat +2

Let $C$ be an algebraic curve of genus $g$ . A coherent system on $C$ consists of a pair $(E, V)$ , where $E$ is an algebraic vector bundle over $C$ of rank $n$ and degree $d$ and $V$ …

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 $n \geq (7 - 2 b)$ …