3 papers
math.DG2026
On Homogeneous Kähler Manifolds
Antonio De Nicola, Fabrizio Pugliese, Luca Vitagliano
The cone over a Sasakian manifold is equipped with a canonical Kähler structure with specific homogeneity properties with respect to the …
math.DG2026
The Symplectic-to-Contact Dictionary
Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano
Contact Geometry is an odd dimensional analogue of Symplectic Geometry. This vague idea can actually be formalized in a rather precise way by means of a Symplectic-to-Contact Dicti…
math.DG2024
Shifted Contact Structures on Differentiable Stacks
Antonio Maglio, Alfonso G. Tortorella, Luca Vitagliano
We define \emph{-shifted} and \emph{-shifted contact structures} on differentiable stacks, thus laying the foundations of \emph{shifted Contact Geometry}. As a side result w…