Introduction: Ferulic acid is a phenolic compound widely distributed in monocotyledons, with
several applications, especially in pharmaceutical and dermo-cosmetic industries. It has …

We present a theory of reduction for Courant algebroids as well as Dirac structures, generalized
complex, and generalized Kähler structures which interpolates between holomorphic …

We produce examples of generalized complex structures on manifolds by generalizing results
from symplectic and complex geometry. We produce generalized complex structures on …

We describe how generalized complex geometry, which interpolates between complex and
symplectic geometry, is compatible with T-duality, a relation between quantum field theories …

We show that all 6-dimensional nilmanifolds admit generalized complex structures. This
includes the five classes of nilmanifold which admit no known complex or symplectic structure. …

We study topological properties of log‐symplectic structures and produce examples of compact
manifolds with such structures. Notably, we show that several symplectic manifolds do …

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 study the decomposition of forms induced by a generalized complex structure giving a
complete description of the bundles involved and, around regular points, of the operators ∂ …

We introduce a method to resolve a symplectic orbifold(M,ω) into a smooth symplectic manifold
(M,ω). Then we study how the formality and the Lefschetz property of (M,ω) are compared …

We introduce blow‐up and blow‐down operations for generalized complex 4‐manifolds.
Combining these with a surgery analogous to the logarithmic transform, we then construct …