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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

Exact Sequence Invariant Subgroup Quotient Field Algebraic Number Field Witt Group 
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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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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