Lefschetz property of Chen-Ruan cohomology rings and d delta-Lemma

摘要

In this note, for a closed symplectic orbifold (X, omega), we study the Lefschetz property of the de Rham cohomology ring (H-dR*(X),Lambda) and the Chen-Ruan cohomology ring (H-CR*(X),boolean OR(CR)), and the relation of these Lefschetz properties with the existence of symplectic harmonic representatives and the dd-Lemma on (X, omega) and (Lambda X, e*omega).