4 papers
Basic sections of LA-groupoids
Antonio Maglio, Fabricio Valencia
We define the notion of basic section of an LA-groupoid whose core-anchor map is injective. Such a notion turns out to be Morita invariant, so that it provides a simpler model for…
Lecture notes on the symplectic geometry of graded manifolds and higher Lie groupoids
Miquel Cueca, Antonio Maglio, Fabricio Valencia
In this work, we study symplectic structures on graded manifolds and their global counterparts, higher Lie groupoids. We begin by introducing the concept of graded manifold, starti…
PhD Thesis: Shifted Contact Structures on Differentiable Stacks
Antonio Maglio
This thesis focuses on developing "stacky" versions of contact structures, extending the classical notion of contact structures on manifolds. A fruitful approach is to study contac…
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…