Abstract
In this note, for a closed symplectic orbifold \({(\mathsf{X},\omega)}\), we study the Lefschetz property of the de Rham cohomology ring \({(H^{*}_{dR}(\mathsf{X}),\wedge)}\) and the Chen–Ruan cohomology ring \({(H^{*}_{CR}(\mathsf{X}),\cup_{CR})}\), and the relation of these Lefschetz properties with the existence of symplectic harmonic representatives and the \({d\delta}\)-Lemma on \({(\mathsf{X},\omega)}\) and \({(\Lambda\mathsf{X},e^{*}\omega)}\).
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Cheng-Yong Du was supported by National Natural Science Foundation of China (Grant No. 11501393) and Scientific Research Fund of Sichuan Provincial Education Department (Grant No. 15ZB0027).
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Du, CY. Lefschetz property of Chen–Ruan cohomology rings and \({d\delta}\)-Lemma. Arch. Math. 107, 473–485 (2016). https://doi.org/10.1007/s00013-016-0968-1
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DOI: https://doi.org/10.1007/s00013-016-0968-1