Answers are grounded in this paper and cite their sources.
We consider several differential operators on compact almost-complex, almost-Hermitian and almost-Kähler manifolds. We discuss Hodge Theory for these operators and a possible cohomological interpretation. We compare the associated spaces of harmonic forms and cohomologies with the classical de Rham, Dolbeault, Bott-Chern and Aeppli cohomologies.
No takes yet. Share an insight, caveat, or question.
Tardini et al. (2020) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: