Coeffective cohomology of symplectic aspherical manifolds

2011/03/03 by Kasuya, Hisashi
#FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1103.0703

Abstract

We prove a generalization of the theorem which is proved by Fernandez, Ibanez, and de Leon. By this result, we give examples of non-Kähler manifolds which satisfy the property of compact Kähler manifolds concerning the coeffective cohomology.

Related

• Cohomological aspects of non-Kähler manifolds
• Symplectic harmonicity and generalized coeffective cohomologies
• Complex non-Kähler manifolds that are cohomologically close to, or far from, being Kähler
• Symplectic manifolds, L^p-cohomology and q-parabolicity
• Remarks on astheno-Kahler manifolds, Bott-Chern and Aeppli cohomology groups