Abstract：Lagrangian fillings are key objects in symplectic geometry. Wrapped Floer theory can be used to show some rigidity property of embedded Lagrangian fillings. We extend the wrapped Floer theory to immersed Lagrangian fillings and obtain lower bounds of double points of immersed Lagrangian disk fillings
Abstract：Holomorphic Floer Theory is the name of our joint project (in fact a program) with Maxim Kontsevich.It is devoted to various aspects of the Floer theory of complex symplectic manifolds.Among applications of our approach there are generalizations of the Riemann-Hilbert correspondence and non-abelian Hodge theory, relation of the Fukaya categories with periodic monopoles,conceptual unde...
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