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- W3098743320 abstract "For a complete symplectic manifold $M^{2n}$, we define the $L^{2}$-hard Lefschetz property on $M^{2n}$. We also prove that the complete symplectic manifold $M^{2n}$ satisfies $L^{2}$-hard Lefschetz property if and only if every class of $L^{2}$-harmonic forms contains a $L^{2}$ symplectic harmonic form. As an application, we get if $M^{2n}$ is a closed symplectic parabolic manifold which satisfies the hard Lefschetz property, then its Euler characteristic satisfies the inequality $(-1)^{n}chi(M^{2n})geq0$." @default.
- W3098743320 created "2020-11-23" @default.
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- W3098743320 date "2020-06-06" @default.
- W3098743320 modified "2023-10-18" @default.
- W3098743320 title "L2-hard Lefschetz complete symplectic manifolds" @default.
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- W3098743320 doi "https://doi.org/10.1007/s10231-020-01004-2" @default.
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