Dolbeault and Bott-Chern formalities: Deformations and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mo>∂</mml:mo><mml:mover accent="true"><mml:mrow><mml:mo>∂</mml:mo></mml:mrow><mml:mo>‾</mml:mo></mml:mover></mml:math>-lemma
نویسندگان
چکیده
It is proved that the properties of being Dolbeault formal and geometrically-Bott-Chern-formal are not closed under holomorphic deformations complex structure. Further, we construct a compact manifold which satisfies ∂∂‾-lemma but admits non vanishing Aeppli-Bott-Chern-Massey product.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2022
ISSN: ['1879-1662', '0393-0440']
DOI: https://doi.org/10.1016/j.geomphys.2022.104470