Abstract

Lagrangian quantum homology was introduced by Biran and Cornea, as a tool to study Lagrangian submanifolds of symplectic manifolds. I will present an overview of its construction and give applications to Hamiltonian dynamics, open Gromov Witten invariants and rigidity of the Maslov class. The lecture assumes some familiarity with symplectic manifolds and Lagrangian submanifolds. Other notions will be introduced along the way, depending on the audience previous knowledge.



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