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Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers
Published 3 Feb 2016 in math.AT, math.DG, and math.GT | (1602.01373v4)
Abstract: We prove vanishing results for the generalized Miller-Morita-Mumford classes of some smooth bundles whose fiber is a closed manifold that supports a nonpositively curved Riemannian metric. We also find, under some extra conditions, that the vertical tangent bundle is topologically rigid.
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