Abstract
In this paper, we study the symplectic cohomologies and symplectic harmonic forms. Based on this, we establish a vanishing theorem on the \(L^2\) harmonic forms on some complete symplectic manifolds.
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Acknowledgements
The author would like to thank Professor Hongyu Wang for his insightful discussions.
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The work is supported by PRC grant NSFC 11701226; Natural Science Foundation of Jiangsu Province BK20170519.
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Tan, Q. A vanishing theorem for \(L^2\) cohomology on symplectic manifolds. Arch. Math. 121, 449–457 (2023). https://doi.org/10.1007/s00013-023-01911-9
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DOI: https://doi.org/10.1007/s00013-023-01911-9