255 citations · 737 across the 27 of their papers we have counts for
6 papers · 1 filter
Poisson structures with compact support
Gil R. Cavalcanti, Ioan Marcut
We explicitly construct several Poisson structures with compact support. For example, we show that any Poisson structure on with polynomial coefficients of degree at most tw…
Fibrations and stable generalized complex structures
Gil R. Cavalcanti, Ralph L. Klaasse
A generalized complex structure is called stable if its defining anticanonical section vanishes transversally, on a codimension-two submanifold. Alternatively, it is a zero ellipti…
Fibrations and log-symplectic structures
Gil R. Cavalcanti, Ralph L. Klaasse
Log-symplectic structures are Poisson structures on for which vanishes transversally. By viewing them as symplectic forms in a Lie algebroid, the -t…
On non-formality of a simply-connected symplectic 8-manifold
Gil R. Cavalcanti, Marisa Fernandez, Vicente Munoz
We show an alternative construction of the first example of a simply-connected compact symplectic non-formal 8-manifold given in arXiv:math/0506449. We also give an alternative pro…
Symplectic resolutions, Lefschetz property and formality
Gil Cavalcanti, Marisa Fernandez, Vicente Munoz
We introduce a method to resolve a symplectic orbifold into a smooth symplectic manifold. Then we study how the formality and the Lefschetz property of the symplectic resolution ar…
The Lefschetz property, formality and blowing up in symplectic geometry
Gil R. Cavalcanti
In this paper we study the behaviour of the Lefschetz property under the blow-up construction. We show that it is possible to reduce the dimension of the kernel of the Lefschetz ma…