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K-theory of function fields

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High-dimensional Knot Theory

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

The computation of the knot cobordism groups C * in Chaps. 40–42 will make use of the algebraic K- and L-theory of the function field F(z) of a field F. The function field is the quotient field of F[z], which is a Dedekind ring. The results of Chap. 18 are now specialized to describe the K-theory of F(z) — see Chap. 39 for the L-theory of F(z).

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© 1998 Springer-Verlag Berlin Heidelberg

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Ranicki, A. (1998). K-theory of function fields. In: High-dimensional Knot Theory. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12011-8_19

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  • DOI: https://doi.org/10.1007/978-3-662-12011-8_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08329-7

  • Online ISBN: 978-3-662-12011-8

  • eBook Packages: Springer Book Archive

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