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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Chern numbers of almost complex manifolds

Author(s): Hansjörg Geiges
Journal: Proc. Amer. Math. Soc. 129 (2001), 3749-3752.
MSC (2000): Primary 57R20, 32Q60
Posted: May 7, 2001
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Abstract | References | Similar articles | Additional information

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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Additional Information:

Hansjörg Geiges
Affiliation: Mathematisch Instituut, Universiteit Leiden, Postbus 9512, 2300 RA Leiden, The Netherlands
Email: geiges@math.leidenuniv.nl

DOI: 10.1090/S0002-9939-01-06027-0
PII: S 0002-9939(01)06027-0
Received by editor(s): May 2, 2000
Posted: May 7, 2001
Communicated by: Ralph Cohen
Copyright of article: Copyright 2001, American Mathematical Society


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