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Chern numbers of almost complex manifolds
Authors:Hansjö  rg Geiges
Institution:Mathematisch Instituut, Universiteit Leiden, Postbus 9512, 2300 RA Leiden, The Netherlands
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.

Keywords:
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