Abstract
We use sheaves and algebraic L-theory to construct the rational Pontryagin classes of fiber bundles with euclidean space fibers. 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.
| Original language | English |
|---|---|
| Pages (from-to) | 309-343 |
| Number of pages | 35 |
| Journal | Geometriae Dedicata |
| Volume | 148 |
| Issue number | 1 |
| Early online date | 18 Aug 2010 |
| DOIs | |
| Publication status | Published - Oct 2010 |
Keywords
- L-theory
- characteristic classes
- sheaves
- Poincare duality
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