Chern numbers of almost complex manifolds
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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.References
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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
- Received by editor(s): May 2, 2000
- Published electronically: May 7, 2001
- Communicated by: Ralph Cohen
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3749-3752
- MSC (2000): Primary 57R20, 32Q60
- DOI: https://doi.org/10.1090/S0002-9939-01-06027-0
- MathSciNet review: 1860512