Characteristic numbers of manifold bundles over surfaces with highly connected fibers

We study smooth bundles over surfaces with highly connected almost parallelizable fiber M of even dimension, providing necessary conditions for a manifold to be bordant to the total space of such a bundle and showing that, in most cases, these conditions are also sufficient. Using this, we determine...

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Veröffentlicht in:Journal of the London Mathematical Society 2020-10, Vol.102 (2), p.879-904
Hauptverfasser: Krannich, Manuel, Reinhold, Jens
Format: Artikel
Sprache:eng
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