Chern numbers of almost complex manifolds

Geiges, Hansjörg

doi:10.1090/S0002-9939-01-06027-0

Chern numbers of almost complex manifolds
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by Hansjörg Geiges PDF

Proc. Amer. Math. Soc. 129 (2001), 3749-3752 Request permission

Abstract:

It is shown that any system of numbers that can be realised as the system of Chern numbers of an almost complex manifold of dimension $2n$, $n\geq 2$, can also be realised in this way by a connected almost complex manifold. This answers an old question posed by Hirzebruch.

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