A. G. Tortorella

collaborators

3 papers

math.SG2025

Simultaneous Deformations of Symplectic Forms and Lagrangian Submanifolds

Stephane Geudens, Florian Schaetz, Alfonso G. Tortorella

Given a compact symplectic manifold $(M, I ¨ )$ and a compact Lagrangian submanifold $L \subset (M, I ¨ )$ , we describe small deformations of the pair $(I ¨ , L)$ modulo the action by isotopi…

math.SG2024

A rigidity result for coisotropic submanifolds in contact geometry

Stephane Geudens, Alfonso G. Tortorella

We study coisotropic deformations of a compact regular coisotropic submanifold $C$ in a contact manifold $(M, I^¾)$ . Our main result states that $C$ is rigid among nearby coisotropic…

math.DG2024

Shifted Contact Structures on Differentiable Stacks

Antonio Maglio, Alfonso G. Tortorella, Luca Vitagliano

We define \emph{ $0$ -shifted} and \emph{ $+ 1$ -shifted contact structures} on differentiable stacks, thus laying the foundations of \emph{shifted Contact Geometry}. As a side result w…