Lagrangian submanifolds and moment convexity
Bernhard Kroetz, Michael Otto
Abstract
We consider a Hamiltonian torus action on a compact connected symplectic manifold M. For a certain class of Lagrangian submanifolds Q of M we show that the image of Q under the momentum map is convex. As an application we complete the symplectic proof of Kostant's non-linear convexity theorem.
Create a lesson
Related papers
Existence of a positive hyperbolic orbit in three-dimensional Reeb flows
Taisuke Shibata
Symplectic Yang-Mills Theory
Jonathan Delgado, Li-Sheng Tseng, Jiawei Zhou
Moment Lagrangians, unobstructedness and symplectic groupoids
Yan-Lung Leon Li
The First Correction Term in the Asymptotic Expansion of Bohr--Sommerfeld Lagrangian States
Yusaku Tiba
Extended Future Tube Conjecture for Unipotent Subgroups
Maxim Kukol
Shifted Contact Structures on Exact Symplectic Fibrations
Mehmet Fırat Arıkan, Kadri İlker Berktav, Efe İzbudak