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 2004Show all

4 papers · 1 filter

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 $n \geq (7 - 2 b)$ …

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…