Bott-Chern cohomology of compact Vaisman manifolds

Autor:	Istrati, Nicolina, Otiman, Alexandra
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry Mathematics - Complex Variables
Druh dokumentu:	Working Paper
Popis:	We give an explicit description of the Bott-Chern cohomology groups of a compact Vaisman manifold in terms of the basic cohomology. We infer that the Bott-Chern numbers and the Dolbeault numbers of a Vaisman manifold determine each other. On the other hand, we show that the cohomological invariants $\Delta^k$ introduced by Angella-Tomassini are unbounded for Vaisman manifolds. Finally, we give a cohomological characterization of the Dolbeault and Bott-Chern formality for Vaisman metrics. Comment: final version, to appear in Trans. Amer. Math. Soc
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.07312 Zobrazit plný text záznamu View this record from Arxiv