8 papers
The Lagrangian flux-monodromy morphism
Joé Brendel, Jean-Philippe Chassé, Rémi Leclercq
We define a new morphism on the fundamental group of the space of Lagrangian submanifolds, which takes into account the Lagrangian flux and monodromy. We study the discreteness of…
A note on the cardinality of Lagrangian packings
Joé Brendel, Jean-Philippe Chassé, Laurent Côté
Given a symplectic manifold, can one pack uncountably many Lagrangian submanifolds in a given Hamiltonian isotopy class of this symplectic manifold? We address and …
Weinstein exactness of nearby Lagrangians and related questions
Marcelo S. Atallah, Jean-Philippe Chassé, Rémi Leclercq +1
We address the following problem: if a Hamiltonian diffeomorphism maps a Lagrangian submanifold to a small Weinstein neighborhood of , is the image necessarily Hamiltonian i…
Lagrangian metric geometry with Riemannian bounds
Jean-Philippe Chassé
We study collections of exact Lagrangian submanifolds respecting some uniform Riemannian bounds, which we equip with a metric naturally arising in symplectic topology (e.g. the Lag…
A Hölder-type inequality for the Hausdorff distance between Lagrangians
Jean-Philippe Chassé, Rémi Leclercq
We prove a Hölder-type inequality for the Hausdorff distance between Lagrangians with respect to the Lagrangian spectral distance or the Hofer-Chekanov distance in the spirit of Jo…
Reverse isoperimetric inequalities for Lagrangian intersection Floer theory
Jean-Philippe Chassé, Jeff Hicks, Yoon Jae Nick Nho
We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagr…
Hausdorff limits of submanifolds of symplectic and contact manifolds
Jean-Philippe Chassé
We study sequences of immersions respecting bounds coming from Riemannian geometry and apply the ensuing results to the study of sequences of submanifolds of symplectic and contact…
Convergence and Riemannian bounds on Lagrangian submanifolds
Jean-Philippe Chassé
We consider collections of Lagrangian submanifolds of a given symplectic manifold which respect uniform bounds of curvature type coming from an auxiliary Riemannian metric. We prov…