A. G. Tortorella

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20232025

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math.SG2025

Simultaneous Deformations of Symplectic Forms and Lagrangian Submanifolds

Stephane Geudens, Florian Schaetz, Alfonso G. Tortorella

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

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 $(M, ξ)$ . Our main result states that $C$ is rigid among nearby coisotropic…

math.SG2023

Deformations of Symplectic Foliations: algebraic aspects

Stephane Geudens, Alfonso G. Tortorella, Marco Zambon

In the companion paper arXiv:2110.05298, we developed the deformation theory of symplectic foliations, focusing on geometric aspects. Here, we address some algebraic questions that…