Dolbeault and Bott-Chern formalities: deformations and -lemma
arXiv:2112.13010 · doi:10.1016/j.geomphys.2022.104470
Abstract
It is proved that the properties of being Dolbeault formal and geometrically-Bott-Chern-formal are not closed under holomorphic deformations of the complex structure. Further, we construct a compact complex manifold which satisfies the -lemma but admits a non vanishing Aeppli-Bott-Chern-Massey product.