A stable generalized complex structure is one that is generically symplectic but degenerates
along a real codimension two submanifold, where it defines a generalized Calabi–Yau …

We shall introduce the notion of C^ ∞ C∞ logarithmic symplectic structures on a
differentiable manifold which is an analog of the one of logarithmic symplectic structures in …

In this thesis we study geometric structures from Poisson and generalized complex geometry
with mild singular behavior using Lie algebroids. The process of lifting such structures to …

We extend the notion of (smooth) stable generalized complex structures to allow for an
anticanonical section with normal self-crossing singularities. This weakening not only allows …

A generalized complex structure is called stable if its defining anticanonical section vanishes
transversally, on a codimension‐two submanifold. Alternatively, it is a zero elliptic residue …

In this note, we describe a procedure to construct generalized complex structures whose
type change locus has arbitrarily many path components on products of the circle with a …

This paper studies a class of singular fibrations, called self-crossing boundary fibrations,
which play an important role in semitoric and generalized complex geometry. These singular …

We show that a four-manifold admits a boundary Lefschetz fibration over the disc if and only
if it is diffeomorphic to $ S^ 1\times S^ 3\# n\overline {\mathbb {C} P^ 2} $, $\# m\mathbb {C} …

Cosymplectic and normal almost contact structures are analogues of symplectic and
complex structures that can be defined on 3-manifolds. Their existence imposes strong …

Exploiting the affinity between stable generalized complex structures and symplectic
structures, we explain how certain constructions coming from symplectic geometry can be …