On geometric Bott–Chern formality and deformations

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• 作者：Nicoletta Tardini ; Adriano Tomassini
• 关键词：Complex manifold ; Bott–Chern cohomology ; Formality ; Deformation ; Aeppli–Bott–Chern Massey triple product
• 刊名：Annali di Matematica Pura ed Applicata (1923 -)
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：196
• 期：1
• 页码：349-362
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer Berlin Heidelberg
• ISSN：1618-1891
• 卷排序：196

文摘

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.