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Characteristic Classes

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Part of the Graduate Texts in Mathematics book series (GTM,volume 82)

Abstract

After the excursion into homotopy theory in the previous chapter, we return now to the differentiable category. Thus in this chapter, in the absence of explicit qualifications, all spaces are smooth manifolds, all maps are smooth maps, and H*(X) denotes the de Rham cohomology.

Keywords

  • Vector Bundle
  • Line Bundle
  • Chern Class
  • Regular Sequence
  • Cohomology Ring

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1982 Springer Science+Business Media New York

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Bott, R., Tu, L.W. (1982). Characteristic Classes. In: Differential Forms in Algebraic Topology. Graduate Texts in Mathematics, vol 82. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3951-0_5

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  • DOI: https://doi.org/10.1007/978-1-4757-3951-0_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2815-3

  • Online ISBN: 978-1-4757-3951-0

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