9 citations · 9 across the 9 of their papers we have counts for
5 papers · 1 filter
Symplectic nilmanifolds with a symplectic non-free -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…
The --lemma for weakly Lefschetz symplectic manifolds
Marisa Fernández, Vicente Muñoz, Luis Ugarte
For a symplectic manifold , not necessarily hard Lefschetz, we prove a version of the Merkulov --lemma. We also study the --lemma and related cohomologies for compac…
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…
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…
Codimension one symplectic foliations
Omegar Calvo, Vicente Munoz, Francisco Presas
We define the concept of symplectic foliation on a symplectic manifold and provide a method of constructing many examples, by using asymptotically holomorphic techniques.