Differential operators on almost-Hermitian manifolds and harmonic forms

Published 14 Sep 2019 in math.DG | (1909.06569v2)

Abstract: We consider several differential operators on compact almost-complex, almost-Hermitian and almost-K\"ahler 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.

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