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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
28/2005

Complex vector bundles with a given top Chern class

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Abstract

We give a detailed proof of Thom's theorem on the existence of a complex vector bundle over a compact oriented manifold $M^ m$ whose top Chern class lies in a given positive ray in $H^{even} (M ^m, Z)$.

Received:
Apr 14, 2005
Published:
Apr 14, 2005
MSC Codes:
55F10
Keywords:
chern class

Related publications

Preprint
2005 Repository Open Access
Hông Vân Lê

Complex vector bundles with a given top Chern class