L-theory of Dedekind rings

  • Andrew Ranicki
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

The high-dimensional knot cobordism groups C * are isomorphic to the L-groups of various polynomial extensions over ℤ. The actual computation of C * first works out the corresponding L-groups of various polynomial extensions over ℚ, and then uses L-theoretic localization techniques to pass from ℚ to ℤ. This chapter describes particular features of the general localization exact sequence of Chap. 25 in the case when the ground ring with involution A is Dedekind.

Keywords

Lution 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Andrew Ranicki
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of EdinburghEdinburghScotland, UK

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