A notion of geometric formality in the context of Bott–Chern and Aeppli cohomologies on a complex manifold is discussed. In particular, by using Aeppli–Bott–Chern–Massey triple products, it is proved that geometric Aeppli–Bott–Chern formality is not stable under small deformations of the complex structure.
On geometric Bott–Chern formality and deformations / Tardini, Nicoletta; Tomassini, Adriano. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 196:1(2017), pp. 349-362. [10.1007/s10231-016-0575-6]
On geometric Bott–Chern formality and deformations
TARDINI, NICOLETTA;TOMASSINI, Adriano
2017-01-01
Abstract
A notion of geometric formality in the context of Bott–Chern and Aeppli cohomologies on a complex manifold is discussed. In particular, by using Aeppli–Bott–Chern–Massey triple products, it is proved that geometric Aeppli–Bott–Chern formality is not stable under small deformations of the complex structure.File in questo prodotto:
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