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arXiv · 2206.07312

Bott-Chern cohomology of compact Vaisman manifolds

Nicolina Istrati·Alexandra Otiman
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Abstract

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.

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Nicolina Istrati, Alexandra Otiman. 2022-06-15. Bott-Chern cohomology of compact Vaisman manifolds. https://arxiv.org/abs/2206.07312

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