Smooth structures on sphere bundles over spheres.
Ajala, Samuel Omoloye (1988)
International Journal of Mathematics and Mathematical Sciences
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Ajala, Samuel Omoloye (1988)
International Journal of Mathematics and Mathematical Sciences
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I. M. James (1971)
Compositio Mathematica
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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.
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 study secondary obstructions to representing a line bundle as the pull-back of a line bundle on and we interpret them geometrically.
Martin Čadek, Jiří Vanžura (1993)
Czechoslovak Mathematical Journal
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I. James (1962)
Fundamenta Mathematicae
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