On duality in symplectic cohomologies

TL;DR

This paper establishes a Poincare-type duality in the filtered cohomology rings of differential forms on symplectic manifolds, extending duality concepts to non-compact, boundary-less cases.

Contribution

It introduces a duality theorem for filtered cohomology rings on symplectic manifolds without boundary, broadening the understanding of symplectic cohomology structures.

Findings

Proves Poincare duality in filtered cohomology rings

Extends duality results to non-compact symplectic manifolds

Provides a new framework for symplectic cohomology analysis

Abstract

For a symplectic manifold M without boundary (not necessarily compact), we prove Poincare type duality in filtered cohomology rings of differential forms on M.