£72.72

Springer High-dimensional Knot Theory: Algebraic Surgery in Codimension 2 (Springer Monographs in Mathematics)

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£77.19 £57.70 £61.95 £66.20 £70.46 £74.71 £78.96 13 February 2026 03 March 2026 22 March 2026 10 April 2026 29 April 2026

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Description

Product Description Bringing together many results previously scattered throughout the research literature into a single framework, this work concentrates on the application of the author's algebraic theory of surgery to provide a unified treatment of the invariants of codimension 2 embeddings, generalizing the Alexander polynomials and Seifert forms of classical knot theory. From the Back Cover High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1. This is the first book entirely devoted to high-dimensional knots. The main theme is the application of the author's algebraic theory of surgery to provide a unified treatment of the invariants of codimension 2 embeddings, generalizing the Alexander polynomials and Seifert forms of classical knot theory. Many results in the research literature are thus brought into a single framework, and new results are obtained. The treatment is particularly effective in dealing with open books, which are manifolds with codimension 2 submanifolds such that the complement fibres over a circle. The book concludes with an appendix by E. Winkelnkemper on the history of open books.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
15 December 2010
Listed Since
20 September 2010

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No barcode data available

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