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arXiv · 2508.04177

$\del\delbar$-Lemma and Bott-Chern cohomology of twistor spaces

Anna Fino·Gueo Grantcharov·Nicoletta Tardini·Adriano Tomassini·Luigi Vezzoni
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Abstract

In the paper we study the Bott-Chern and Aeppli cohomologies of the twistor space of a compact self-dual 4-manifold and we characterize the validity of the $\partial \overline \partial$-lemma. We also compute explicitly the Dolbeault cohomology of the twistor space $Z$ of the flat $4$-dimensional torus, which is known to not satisfy the $\partial\overline{\partial}$ lemma.

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Anna Fino, Gueo Grantcharov, Nicoletta Tardini, Adriano Tomassini, Luigi Vezzoni. 2025-08-06. $\del\delbar$-Lemma and Bott-Chern cohomology of twistor spaces. https://arxiv.org/abs/2508.04177

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