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arXiv · 1511.02838

Boundness of $b_2$ for hyperkähler manifolds with vanishing odd-Betti numbers

Nikon Kurnosov
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Abstract

We prove that $b_2$ is bounded for hyperkähler manifolds with vanishing odd-Betti numbers. The explicit upper boundary is conjectured. Following the method described by Sawon we prove that $b_2$ is bounded in dimension eight and ten in the case of vanishing odd-Betti numbers by 24 and 25 respectively.

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Nikon Kurnosov. 2015-11-09. Boundness of $b_2$ for hyperkähler manifolds with vanishing odd-Betti numbers. https://arxiv.org/abs/1511.02838

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