The cobordism ring

  • Friedrich Hirzebruch
Part of the Classics in Mathematics book series (volume 131)


In this chapter all manifolds are compact, orientable and differentiable of class C. Several results from the cobordism theory of Thom [2] are stated. They are used to express the index of a manifold M4 k as a polynomial in the Pontrjagin classes of MM4 k (Theorem 8.2.2). This result is needed in 19.5. to provide and essential step in the proof of the Riemann-Roch theorem.


Equivalence Relation Cohomology Class Basis Sequence Oriented Manifold Manifold Versus 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Friedrich Hirzebruch
    • 1
    • 2
  1. 1.Max-Planck-Institut für MathematikBonnGermany
  2. 2.Mathematisches InstitutUniversität BonnBonnWest Germany

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