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arXiv · 1909.06924

A conjectural bound on the second Betti number for hyper-Kähler manifolds

Yoon-Joo Kim·Radu Laza
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Abstract

In previous work, we noted that the known cases of hyper-Kähler manifolds satisfy a natural condition on the LLV decomposition of the cohomology; informally, the Verbitsky component is the dominant representation in the LLV decomposition. Assuming this condition holds for all hyper-Kähler manifolds, we obtain an upper bound for the second Betti number in terms of the dimension.

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BibTeXRIS

Yoon-Joo Kim, Radu Laza. 2020-03-03. A conjectural bound on the second Betti number for hyper-Kähler manifolds. https://arxiv.org/abs/1909.06924

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