On the classification of oriented vector bundles over 5-complexes
Martin Čadek, Jiří Vanžura (1993)
Czechoslovak Mathematical Journal
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Displaying similar documents to “On oriented vector bundles over CW-complexes of dimension 6 and 7”
On the classification of oriented vector bundles over 5-complexes
A note about the isotropy groups of 2-plane bundles over closed surfaces.
A. Minatta, R. Piccinini, M. Spreafico (2003)
Collectanea Mathematica
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Bounds for Chern classes of semistable vector bundles on complex projective spaces
Wiera Dobrowolska (1993)
Colloquium Mathematicae
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This work concerns bounds for Chern classes of holomorphic semistable and stable vector bundles on . Non-negative polynomials in Chern classes are constructed for 4-vector bundles on and a generalization of the presented method to r-bundles on is given. At the end of this paper the construction of bundles from complete intersection is introduced to see how rough the estimates we obtain are.
Line bundles with
Stefano De Michelis (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We prove that on a -complex the obstruction for a line bundle to be the fractional power of a suitable pullback of the Hopf bundle on a 2-dimensional sphere is the vanishing of the square of the first Chern class of . On the other hand we show that if one looks at integral powers then further secondary obstructions exist.