Coeffective cohomology of symplectic aspherical manifolds
Hisashi Kasuya
TL;DR
This paper generalizes a theorem related to coeffective cohomology, providing examples of non-Kähler manifolds that share properties with compact Kähler manifolds in this cohomological aspect.
Contribution
It extends previous results on coeffective cohomology to a broader class of symplectic aspherical manifolds, including non-Kähler examples.
Findings
Generalized theorems on coeffective cohomology
Constructed non-Kähler manifolds with Kähler-like coeffective cohomology
Provided new examples of symplectic aspherical manifolds
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-K\"ahler manifolds which satisfy the property of compact K\"ahler manifolds concerning the coeffective cohomology.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry