Monotone Lagrangians in cotangent bundles of spheres

Luis Diogo (Fluminense Federal University)

19-May-2021, 11:10-12:30 (3 years ago)

Abstract: Among all Lagrangian submanifolds of a symplectic manifold, the class of monotone Lagrangians is often very rich and nicely suited to being studied using pseudoholomophic curves. We find a family of monotone Lagrangians in cotangent bundles of spheres with the following property: every compact monotone Lagrangian with non-trivial Floer cohomology cannot be displaced by a Hamiltonian diffeomorphism from at least one element in the family. This follows from the fact that the Lagrangians in the family split-generate the compact monotone Fukaya category. This is joint work with Mohammed Abouzaid.

differential geometrydynamical systemsgeometric topologysymplectic geometry

Audience: researchers in the topic


Geometry and Dynamics seminar

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