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...
Abstract:We prove some weighted Lpℓp-decoupling estimates when p=2n/(n−1). As an application, we give a result beyond the real interpolation exponents for the maximal Bochner-Riesz operator in R3. We also make an improvement in the planar case