On the construction and topological invariance of the Pontryagin classes
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classespontryaginbundlesfiberinvariancerationaltopologicalalgebraic
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We use sheaves and algebraic L-theory to construct the rational Pontryagin classes of fiber bundles with fiber R^n. This amounts to an alternative proof of Novikov's theorem on the topological invariance of the rational Pontryagin classes of vector bundles. Transversality arguments and torus tricks are avoided.
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