Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Geudens, Stephane"'
Autor:
Geudens, Stephane
We construct foliations $\mathcal{F}$ on compact manifolds that are infinitesimally rigid, meaning that their deformation cohomology $H^{1}(\mathcal{F},N\mathcal{F})$ vanishes. Our main result yields examples of infinitesimally rigid Lie foliations w
Externí odkaz:
http://arxiv.org/abs/2403.17666
Autor:
Geudens, Stephane, Zeiser, Florian
We show that a Riemannian foliation F on a compact manifold M is stable, provided that the cohomology group H^1(F,NF) vanishes. Stability means that any foliation on M close enough to F is conjugate to F by means of a diffeomorphism.
Comment: An
Comment: An
Externí odkaz:
http://arxiv.org/abs/2402.04633
We study coisotropic deformations of a compact regular coisotropic submanifold $C$ in a contact manifold $(M,\xi)$. Our main result states that $C$ is rigid among nearby coisotropic submanifolds whose characteristic foliation is diffeomorphic to that
Externí odkaz:
http://arxiv.org/abs/2401.06572
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 arose naturally. We show that the $L_{\infty}$-algebra constructed th
Externí odkaz:
http://arxiv.org/abs/2305.00501
Autor:
Geudens, Stephane
It is well-known that the deformation problem of a compact coisotropic submanifold $C$ in a symplectic manifold is obstructed in general. We show that it becomes unobstructed if one only allows coisotropic deformations whose characteristic foliation
Externí odkaz:
http://arxiv.org/abs/2212.04442
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 foliation has an attached $L_\infty$-algebra controlling its deformati
Externí odkaz:
http://arxiv.org/abs/2110.05298
Autor:
Geudens, Stephane
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 this Poisson submanifold around the coregular submanifold. This result
Externí odkaz:
http://arxiv.org/abs/2011.12650
Autor:
Geudens, Stephane, Zambon, Marco
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 structure around such a Lagrangian, which we use to extract algebraic
Externí odkaz:
http://arxiv.org/abs/2009.01146
Autor:
Geudens, Stephane, Zambon, Marco
We study coisotropic submanifolds of $b$-symplectic manifolds. We prove that $b$-coisotropic submanifolds (those transverse to the degeneracy locus) determine the $b$-symplectic structure in a neighborhood, and provide a normal form theorem. This ext
Externí odkaz:
http://arxiv.org/abs/1907.09251
Publikováno v:
In Advances in Mathematics 6 August 2022 404 Part B