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Titlebook: High-dimensional Knot Theory; Algebraic Surgery in Andrew Ranicki Book 1998 Springer-Verlag Berlin Heidelberg 1998 K-theory.homology.knots.

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-theory of formal power seriesThe results of Chap. 5 on the .-theory of the polynomial extensions .[.], .[., ..] are extended to the .-theory of the formal power series ring .[[.]] and the Novikov ring .((.)). This extension will be used in Chap. 8 to show that a finite f.g. free .[., ..]-module chain complex is .-finitely dominated (i.e. a band) if and only if ..
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Primary ,-theoryIn the applications of endomorphism .- (and .-) theory to the computation of the high-dimensional knot cobordism groups it is necessary to restrict attention to endomorphisms . : . →. of f.g. projective .-modules such that .(.) = 0 for a particular type of polynomial .(.) ∈ .[.], e.g. an (Alexander) polynomial .(.) ∈ .[.] with .(1) ∈ A..
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