5 citations · 5 across the 8 of their papers we have counts for
10 papers
Simultaneous Deformations of Symplectic Forms and Lagrangian Submanifolds
Stephane Geudens, Florian Schaetz, Alfonso G. Tortorella
Given a compact symplectic manifold and a compact Lagrangian submanifold , we describe small deformations of the pair modulo the action by isotopies.…
Infinitesimally rigid Lie foliations with dense leaves
Stephane Geudens, Florian Zeiser
We call a foliation on a compact manifold infinitesimally rigid if its deformation cohomology vanishes. This paper studies infinites…
Morse-Novikov cohomology and rigidity of Lie affine foliations
Stephane Geudens
In previous work by El Kacimi Alaoui-Guasp-Nicolau, a cohomological criterion is given for a Lie -foliation on a compact manifold to be rigid among nearby Lie foliati…
A rigidity result for coisotropic submanifolds in contact geometry
Stephane Geudens, Alfonso G. Tortorella
We study coisotropic deformations of a compact regular coisotropic submanifold in a contact manifold . Our main result states that is rigid among nearby coisotropic…
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…
On deformations of coisotropic submanifolds with fixed characteristic foliation
Stephane Geudens
It is well-known that the deformation problem of a compact coisotropic submanifold in a symplectic manifold is obstructed in general. We show that it becomes unobstructed if on…
Deformations of Symplectic Foliations
Stephane Geudens, Alfonso G. Tortorella, Marco Zambon
We develop the deformation theory of symplectic foliations, i.e. regular foliations equipped with a leafwise symplectic form. The main result of this paper is that each symplectic…
The Poisson saturation of coregular submanifolds
Stephane Geudens
This paper is devoted to coregular submanifolds in Poisson geometry. We show that their local Poisson saturation is an embedded Poisson submanifold, and we give a normal form for t…
Deformations of Lagrangian submanifolds in log-symplectic manifolds
Stephane Geudens, Marco Zambon
This paper is devoted to deformations of Lagrangian submanifolds contained in the singular locus of a log-symplectic manifold. We prove a normal form result for the log-symplectic…
Coisotropic submanifolds in -symplectic geometry
Stephane Geudens, Marco Zambon
We study coisotropic submanifolds of -symplectic manifolds. We prove that -coisotropic submanifolds (those transverse to the degeneracy locus) determine the -symplectic st…