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High-dimensional Knot Theory

von Andrew Ranicki
Hardcover - 9783540633891
106,99 €
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Softcover - 9783642083297
106,99 €

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Weitere Formate

Softcover - 9783642083297
106,99 €

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. 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.

Algebraic Surgery in Codimension 2

Algebraic Surgery in Codimension 2

Details

Verlag Springer Berlin
Ersterscheinung 06. August 1998
Maße 23.5 cm x 15.5 cm
Gewicht 1191 Gramm
Format Hardcover
ISBN-13 9783540633891
Seiten 646

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