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Lefschetz decomposition for de Rham cohomology on weakly Lefschetz symplectic manifolds

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Abstract

For a compact symplectic manifold which is s-Lefschetz which is weaker than the hard Lefschetz property, we prove that the Lefschetz decomposition for de Rham cohomology also holds.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    Qiang Tan

  2. School of Mathematical Sciences, Yangzhou University, Yangzhou, 225002, China

    Haifeng Xu

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  1. Qiang Tan
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  2. Haifeng Xu
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Correspondence to Qiang Tan.

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Tan, Q., Xu, H. Lefschetz decomposition for de Rham cohomology on weakly Lefschetz symplectic manifolds. Front. Math. China 10, 1169–1178 (2015). https://doi.org/10.1007/s11464-015-0483-x

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  • DOI: https://doi.org/10.1007/s11464-015-0483-x

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