Item description for High-dimensional Knot Theory: Algebraic Surgery in Codimension 2 (Springer Monographs in Mathematics) by E. Winkelnkemper Andrew Ranicki...
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. 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.
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Est. Packaging Dimensions: Length: 9.52" Width: 6.39" Height: 1.58" Weight: 2.2 lbs.
Release Date Sep 18, 1998
ISBN 3540633898 ISBN13 9783540633891
Availability 56 units. Availability accurate as of May 24, 2017 05:53.
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