Obstructions to the existence of monotone Lagrangian embeddings into   cotangent bundles of manifolds fibered over the circle
  We extend constructions and results of Damian to get topological obstructions to the existence of closed monotone Lagrangian embeddings into the cotangent bundle of a space which is the total space of a fibration over the circle. 
AGN\`es Gadbled (IRMA)