High-dimensional Knot Theory: Algebraic Surgery in Codimension 2
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Bibliographische Detailangaben
1. Verfasser: Ranicki, Andrew (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Berlin, Heidelberg Springer Berlin Heidelberg 1998
Schriftenreihe:Springer Monographs in Mathematics
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Beschreibung: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
Beschreibung:1 Online-Ressource (XXXVI, 646 p)
ISBN:9783662120118
9783642083297
ISSN:1439-7382
DOI:10.1007/978-3-662-12011-8

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