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math.SG2017★ 2 cited
-rigidity of Lagrangian submanifolds and punctured holomorphic discs in the cotangent bundle
Cedric Membrez, Emmanuel Opshtein
Our main result is the -rigidity of the area spectrum and the Maslov class of Lagrangian submanifolds. This relies on the existence of punctured pseudoholomorphic di…
math.SG2016
Lagrangian isotopies and symplectic function theory
Michael Entov, Yaniv Ganor, Cedric Membrez
We study two related invariants of Lagrangian submanifolds in symplectic manifolds. For a Lagrangian torus these invariants are functions on the first cohomology of the torus. The…
math.SG2014
The Lagrangian Cubic Equation
Paul Biran, Cedric Membrez
Let be a closed symplectic manifold and a Lagrangian submanifold. Denote by the homology class induced by viewed as a class in the quantum homology of $…