On Duality in Filtered Cohomologies

Authors
Ke, Hua-Zhong
Citation
Ke, Hua-zhong, On Duality in Filtered Cohomologies, Acta mathematica Sinica. English series (Print) , 35(5), 2019, pp. 597-608
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
35
Issue
5
Year of publication
2019
Pages
597 - 608
Database
ACNP
SICI code
Abstract
For a symplectic manifold (M2n, .) 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.)-and dd.-cohomologies.