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High-dimensional Knot Theory

Algebraic Surgery in Codimension 2

Produktform: E-Buch Text Elektronisches Buch in proprietärem

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.weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-3-662-12011-8 / 978-3662120118 / 9783662120118

Verlag: Springer Berlin

Erscheinungsdatum: 17.04.2013

Seiten: 646

Autor(en): Andrew Ranicki
Anhang von E. Winkelnkemper

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