Displaying similar documents to “The Whitehead transfer homomorphism for oriented S...-bundles.”

Fixed points on Klein bottle fiber bundles over the circle

D. L. Gonçalves, D. Penteado, J. P. Vieira (2009)

Fundamenta Mathematicae

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The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S¹ for spaces which are fiber bundles over S¹ and the fiber is the Klein bottle K. We classify all such maps which can be deformed fiberwise to a fixed point free map. The similar problem for torus fiber bundles over S¹ has been solved recently.

Vector bundles on manifolds without divisors and a theorem on deformations

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.