We describe families of monotone symplectic manifolds constructed via the symplectic cutting procedure of Lerman [Math. Res. Lett. 2 (1995) 247–258] from the cotangent bundle of manifolds endowed with a free circle action. We also give obstructions to the monotone Lagrangian embedding of some compact manifolds in these symplectic manifolds.
"Families of monotone symplectic manifolds constructed via symplectic cut and their Lagrangian submanifolds." Algebr. Geom. Topol. 11 (4) 2319 - 2368, 2011. https://doi.org/10.2140/agt.2011.11.2319