4 papers · 1 filter
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…
The spread construction and non-uniqueness of visible Lagrangians
Joé Brendel, Reto Kaufmann
Every even symplectic Hirzebruch surface contains a Lagrangian torus and every odd symplectic Hirzebruch surface contains a Lagrangian Klein bottle as their respective real locus.…
On Lagrangians of Oakley-Usher type
Joé Brendel, Andrea Piccirilli
The first main theme of this paper is to study symplectic (un-)knottedness of Lagrangian submanifolds which are not tori. Our construction of such Lagrangians is inspired by the ge…
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 …