3 citations · 6 across the 3 of their papers we have counts for
5 papers
Regularisation of Lie algebroids and Applications
Álvaro del Pino, Aldo Witte
We describe a procedure, called regularisation, that allows us to study geometric structures on Lie algebroids via foliated geometric structures on a manifold of higher dimension.…
Non-principal T-duality, generalized complex geometry and blow-ups
Gil R. Cavalcanti, Aldo Witte
We extend the notion of T-duality to manifolds endowed with non-principal torus actions. The singularities of the torus action are controlled by a certain Lie algebroid, called the…
The cohomology of the elliptic tangent bundle
Aldo Witte
In this note we compute the cohomology of the elliptic tangent bundle, a Lie algebroid used to describe singular symplectic forms arising from generalized complex geometry.
Fibrations in semi-toric and generalized complex geometry
Gil R. Cavalcanti, Ralph L. Klaasse, Aldo Witte
This paper studies the interplay between self-crossing boundary Lefschetz fibrations and generalized complex structures. We show that these fibrations arise from the moment maps in…
Self-crossing stable generalized complex structures
Gil R. Cavalcanti, Ralph L. Klaasse, Aldo Witte
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…