On Reprensentation Theory and the Cohomology Rings of Irreducible Compact Hyperkähler Manifolds of Complex Dimension Four

Author: Guan Daniel

Source: Central European Journal of Mathematics, Volume 1, Number 4, 1 October 2003 , pp. 661-669(9)

Publisher: Central European Science Journals

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Abstract:

In this paper, we continue the study of the possible cohomology rings of compact complex four dimensional irreducible hyperkähler manifolds. In particular, we prove that in the case b₂ = 7, b₃ = 0 or 8. The latter was achieved by the Beauville construction.

Keywords: Hyperkahler; cohomology rings; Betti numbers; holomorphic symplectic; Lie group; Lefschetz triple

Document Type: Research article

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