Monotone Lagrangians in cotangent bundles of spheres
Luis Diogo (Fluminense Federal University)
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
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Organizers: | Michael Bialy, Lev Buhovsky*, Yaron Ostrover, Leonid Polterovich |
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