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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書目名稱High-dimensional Knot Theory影響因子(影響力)




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書目名稱High-dimensional Knot Theory網(wǎng)絡(luò)公開度學科排名




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書目名稱High-dimensional Knot Theory被引頻次學科排名




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種植,培養(yǎng)

GRIN

修正案

Localization and completion in ,-theoryy reducing the computation for a complicated ring to simpler rings (e.g. fields). The classic example of localization and completion is the Hasse-Minkowski principle by which quadratic forms over ? are related to quadratic forms over ? and the finite fields F. and the .-adic completions ., . of ?, ?

Engulf

Algebraic transversalityclic covers of compact manifolds and finite . complexes. Refer to Ranicki [244, Chap. 4] for a previous account of algebraic transversality: here, only the additional results required for the new applications are proved. The construction in Part Two of the algebraic invariants of knots will make use

膽小懦夫

Noncommutative localizatione noncommutative rings. High-dimensional knot theory requires the noncommutative localization matrix inversion method of Cohn [53], [54]. The algebraic .- and .-theory invariants of codimension 2 embeddings frequently involve this type of localization of a polynomial ring, as will become apparent in

oblique

Endomorphism ,-theoryith an endomorphism . : . → . is essentially the same as a module (., .) over the polynomial ring .[.], with the indeterminate . acting on . by . This correspondence will be used to relate the algebraic .-groups .. (...[.]) of the localizations ...[.] of .[.] to the .-groups of pairs (., .) with . a

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增強

Witt vectorstermines the endomorphism .-theory class. In Chap. 17 the Reidemeister torsion of an .-contractible finite f.g. .[., ..]-module chain complex . will be identified with the Witt vector determined by the Alexander polynomials. In the applications to knot theory in Chap. 33 . will be the cellular chain

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