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 88-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 88 lemma. (c) 2026 The Author(s). Published by Elsevier GmbH. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
∂∂¯-lemma and Bott–Chern cohomology of twistor spaces / Fino, A.; Grantcharov, G.; Tardini, N.; Tomassini, A.; Vezzoni, L.. - In: EXPOSITIONES MATHEMATICAE. - ISSN 0723-0869. - 44:2(2026). [10.1016/j.exmath.2026.125755]
∂∂¯-lemma and Bott–Chern cohomology of twistor spaces
Fino A.;Tardini N.;Tomassini A.;Vezzoni L.
2026-01-01
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 88-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 88 lemma. (c) 2026 The Author(s). Published by Elsevier GmbH. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
