Superheavy Lagrangian immersions in surfaces

Abstract

We show that the union of some circles in a closed Riemannian surface with positive genus is superheavy in the sense of Entov-Polterovich. By a result of Entov and Polterovich, this implies that the product of this union and the Clifford torus of CPn with the Fubini-Study symplectic form cannot be displaced by any symplec-tomorphisms C.International Press of Boston, Inc.