From the 3 of 7 linked papers with an AI index.
7 papers
On Lagrangians of Oakley-Usher type
Joé Brendel, Joé Brendel, Andrea Piccirilli
The paper constructs non‑toric Lagrangian submanifolds via symplectic reduction for non‑abelian group actions, examines their various knotting and isotopy properties, and studies m…
The spread construction and non-uniqueness of visible Lagrangians
Joé Brendel, Joé Brendel, Reto Kaufmann
The paper shows that every Hirzebruch surface contains both a Lagrangian torus and a Lagrangian Klein bottle whose images under the moment map fill the whole moment polytope, and i…
The Lagrangian flux-monodromy morphism
Joé Brendel, Joé Brendel, Jean-Philippe Chassé +3
The authors define a new morphism on the fundamental group of the space of Lagrangian submanifolds that incorporates Lagrangian flux and monodromy, study when its image is discrete…
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 …
Markov staircases
Nikolas Adaloglou, Joé Brendel, Jonny Evans +2
Rational homology ellipsoids are certain Liouville domains diffeomorphic to rational homology balls and having Lagrangian pin-wheels as their skeleta. From the point of view of alm…
Lagrangian split tori in and billiards
Joé Brendel, Joontae Kim
In this paper, we classify up to Hamiltonian isotopy Lagrangian tori that split as a product of circles in , when the latter is equipped with a non-monotone split s…