mathcal{C}⁰-rigidity of Lagrangian submanifolds and punctured holomorphic discs in the cotangent bundle
classification
🧮 math.SG
keywords
discspuncturedclasscotangentlagrangianmathcalrigiditysubmanifolds
read the original abstract
Our main result is the $\mathcal{C}^0$-rigidity of the area spectrum and the Maslov class of Lagrangian submanifolds. This relies on the existence of punctured pseudoholomorphic discs in cotangent bundles with boundary on the zero section, whose boundaries represent any integral homology class. We discuss further applications of these punctured discs in symplectic geometry.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.