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MiS Preprint
87/2006

Weak equivalence classes of complex vector bundles

Hông Vân Lê

Abstract

For any complex vector bundle Ek of rank k over a manifold Mm with the Chern classes ciH2i(Mm,Z) and any non-negative integers l1,,lk we show the existence of a positive number N(k,m) and the existence of a vector bundle E^k over Mm whose Chern classes are N(k,m)liciH2i(Mm,Z). We also discuss a version of this statement for holomorphic vector bundles Ek over projective algebraic manifolds.

Received:
24.08.06
Published:
24.08.06
MSC Codes:
53C10, 53C42, 55R25, 55R37
Keywords:
chern class, complex Grassmannian, weak equivalence

Related publications

inJournal
2008 Journal Open Access
Hông Vân Lê

Weak equivalence classes of complex vector bundles

In: Acta mathematica Universitatis Comenianae, 77 (2008) 1, pp. 23-30