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

High-dimensional Knot Theory

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

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Published: 15 December, 2010
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Description

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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More Details

Type Book
ISBN13 9783642083297
ISBN10 3642083293
Number Of Pages 646
Item Weight 1000 g
Publisher / Reseller Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Format paperback
Edition Softcover reprint of hardcover 1st ed. 1998
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