A bound on the second Betti number of hyperkähler manifolds of complex dimension six

DOI10.1007/s40879-021-00526-0zbMath1503.53104arXiv1511.09105OpenAlexW4226517510MaRDI QIDQ2087710

Justin Sawon

Publication date: 21 October 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.09105

zbMATH Keywords

cohomologyhyper-Kähler manifoldsBetti numbers

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Algebraic topology on manifolds and differential topology (57R19)

Related Items (4)

Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds ⋮ Automorphisms of hyperkähler manifolds and groups acting on CAT(0) spaces ⋮ Unnamed Item ⋮ Hyper-Kähler manifolds

Cites Work

• Variétés kähleriennes dont la première classe de Chern est nulle
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• A Lie algebra attached to a projective variety
• On the Betti numbers of irreducible compact hyperkähler manifolds of complex dimension four
• On the cohomology of Kähler and hyper-Kähler manifolds
• Cohomology of compact hyperkähler manifolds and its applications
• On monodromies of a degeneration of irreducible symplectic Kähler manifolds
• Action of the Lie algebra SO(5) on the cohomology of a hyperkähler manifold
• The Hodge diamond of O’Grady’s six-dimensional example
• A conjectural bound on the second Betti number for hyper-Kaehler manifolds
• Finiteness results for compact hyperkähler manifolds
• A new six-dimensional irreducible symplectic variety
• Unnamed Item
• Unnamed Item

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