L-theory of Dedekind rings
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.
KeywordsExact Sequence Invariant Subgroup Quotient Field Algebraic Number Field Witt Group
Unable to display preview. Download preview PDF.