On Duality in Filtered Cohomologies  

作　　者：Hua Zhong KE 

机构地区：[1]School of Mathematics, Sun Yat-sen University

出　　处：《Acta Mathematica Sinica,English Series》2019年第5期597-608,共12页数学学报（英文版）

基　　金：Supported by NSFC(Grant Nos.11521101 and 11601534)

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.

关 键 词：SYMPLECTIC MANIFOLDS filtered COHOMOLOGY Lefschetz MAP 

分 类 号：O1[理学—数学]