On Duality in Filtered Cohomologies

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英文篇名：On Duality in Filtered Cohomologies 作者：Hua ; Zhong ; KE 英文作者：Hua Zhong KE;School of Mathematics, Sun Yat-sen University; 英文关键词：Symplectic manifolds;;filtered cohomology;;Lefschetz map 中文刊名：ACMS 英文刊名：数学学报(英文版) 机构：School of Mathematics, Sun Yat-sen University; 出版日期：2019-04-22 出版单位：Acta Mathematica Sinica 年：2019 期：v.35 基金：Supported by NSFC(Grant Nos.11521101 and 11601534) 语种：英文; 页：ACMS201905002 页数：12 CN：05 ISSN：11-2039/O1 分类号：19-30

摘要

For a symplectic manifold(M~(2n), ω) without boundary(not necessarily compact), we prove Poincaré type duality in filtered cohomology rings of differential forms on M, and we use this result to obtain duality between(d + d~Λ)-and dd~Λ-cohomologies.
        For a symplectic manifold(M~(2n), ω) without boundary(not necessarily compact), we prove Poincaré type duality in filtered cohomology rings of differential forms on M, and we use this result to obtain duality between(d + d~Λ)-and dd~Λ-cohomologies.

引文

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