On the classification of complex vector bundles of stable rank
Abstract
One describes, using a detailed analysis of Atiyah--Hirzebruch spectral sequence, the tuples of cohomology classes on a compact, complex manifold, corresponding to the Chern classes of a complex vector bundle of stable rank. This classification becomes more effective on generalized flag manifolds, where the Lie algebra formalism and concrete integrability conditions describe in constructive terms the Chern classes of a vector bundle.
Keywords
Cite
@article{arxiv.math/0609282,
title = {On the classification of complex vector bundles of stable rank},
author = {Constantin Bǎnicǎ and Mihai Putinar},
journal= {arXiv preprint arXiv:math/0609282},
year = {2007}
}
Comments
21 pages; The work was completed in 1990, and circulated as a Goettingen preprint Heft 5 (1991). Also, the main results were announced in the note [C. Banica, M. Putinar: Fibr\'{e}s vectoriels complexes de rang stable sur les vari\'{e}t\'{e}s complexes compactes, C. R. Acad. Sci. Paris. t. 314, Serie I (1992), 829-832.] The present published version is not different, except some minor cosmetic changes, than the 1990 original article