12 citations · 23 across the 5 of their papers we have counts for
5 papers · 1 filter
Invariants of almost complex and almost Kähler manifolds
Tom Holt, Riccardo Piovani, Adriano Tomassini
Let be a compact almost complex manifold. The almost complex invariant is defined as the complex dimension of the cohomology space $\left\{\left[α\right]\i…
Primitive decomposition of Bott-Chern and Dolbeault harmonic -forms on compact almost Kähler manifolds
Tom Holt, Riccardo Piovani
We consider the primitive decomposition of , Bott-Chern and Aeppli-harmonic -forms on compact almost Kähler manifolds . For any $D \in \{\b…
Bott-Chern and Harmonic forms on Almost Hermitian 4-manifolds
Tom Holt
We prove that on a compact almost Hermitian 4-manifold the space of -harmonic -forms always has dimension or , whilst th…
Almost Kähler Kodaira-Spencer problem
Tom Holt, Weiyi Zhang
We show that the almost complex Hodge number varies with different choices of almost Kähler metrics. This answers the almost Kähler version of a question of Kodaira and S…
Harmonic Forms on the Kodaira-Thurston Manifold
Tom Holt, Weiyi Zhang
We introduce an effective method to solve the -harmonic forms on the Kodaira-Thurston manifold endowed with an almost complex structure and an Hermitian metric. Using…