Families of monotone symplectic manifolds constructed via symplectic cut and their Lagrangian submanifolds

摘要

We describe families of monotone symplectic manifolds constructed via thesymplectic cutting procedure of Lerman from the cotangent bundle of manifoldsendowed with a free circle action. We also give obstructions to the monotoneLagrangian embedding of some compact manifolds in these symplectic manifolds.