On the classification of oriented vector bundles over 5-complexes
Martin Čadek, Jiří Vanžura (1993)
Czechoslovak Mathematical Journal
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Martin Čadek, Jiří Vanžura (1993)
Czechoslovak Mathematical Journal
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Július Korbaš (1993)
Mathematica Slovaca
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Gompf, Robert E. (1997)
Geometry & Topology
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Thornton, M.C. (1974)
Portugaliae mathematica
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K. Srinivasacharyulu (1958-1960)
Séminaire Ehresmann. Topologie et géométrie différentielle
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Oprea, John, Tanré, Daniel (2005)
International Journal of Mathematics and Mathematical Sciences
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Ted Petrie, John Randall (1985)
Publications Mathématiques de l'IHÉS
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Georges Elencwajg, O. Forster (1982)
Annales de l'institut Fourier
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We study holomorphic vector bundles on non-algebraic compact manifolds, especially on tori. We exhibit phenomena which cannot occur in the algebraic case, e.g. the existence of 2-bundles that cannot be obtained as extensions of a sheaf of ideals by a line bundle. We prove some general theorems in deformations theory of bundles, which is our main tool.