9 citations · 32 across the 9 of their papers we have counts for
3 papers · 1 filter
Integration of generalized complex structures
Michael Bailey, Marco Gualtieri
We solve the integration problem for generalized complex manifolds, obtaining as the natural integrating object a weakly holomorphic symplectic groupoid, which is a real symplectic…
Type one generalized Calabi--Yaus
Michael Bailey, Gil R. Cavalcanti, Marco Gualtieri
We study type one generalized complex and generalized Calabi--Yau manifolds. We introduce a cohomology class that obstructs the existence of a globally defined, closed 2-form which…
Blow-ups in generalized complex geometry
Michael Bailey, Gil R. Cavalcanti, Joey van der Leer Duran
We study blow-ups in generalized complex geometry. To that end we introduce the concept of holomorphic ideal, which allows one to define a blow-up in the category of smooth manifol…