On the construction and topological invariance of the Pontryagin classes

Andrew Ranicki, Michael Weiss

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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.

Original languageEnglish
Pages (from-to)309-343
Number of pages35
JournalGeometriae Dedicata
Volume148
Issue number1
DOIs
Publication statusPublished - Oct 2010

Keywords / Materials (for Non-textual outputs)

  • L-theory
  • Characteristic classes
  • Sheaves
  • Poincare duality
  • INTERSECTION HOMOLOGY
  • SINGULAR SPACES
  • WITT GROUPS
  • CLASSIFICATION

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