Abstract
In this chapter all manifolds are compact, orientable and differentiate of class C ∞. Several results from the cobordism theory of Thom [2] are stated. They are used to express the index of a manifold M 4k as a polynomial in the Pontrjagin classes of M 4k (Theorem 8.2.2). This result is needed in 19.5 to provide an essential step in the proof of the Riemann-Roch theorem.
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© 1966 Springer-Verlag Berlin Heidelberg
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Hirzebruch, F. (1966). The cobordism ring. In: Topological Methods in Algebraic Geometry. Die Grundlehren der Mathematischen Wissenschaften, vol 131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-30697-0_3
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DOI: https://doi.org/10.1007/978-3-662-30697-0_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-30630-7
Online ISBN: 978-3-662-30697-0
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