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

Buch 4 von 187: Springer Monographs in Mathematics

Ranicki, Andrew

 
9783540633891: High-dimensional Knot Theory: Algebraic Surgery in Codimension 2 (Springer Monographs in Mathematics)
Hardcover
ISBN 10: 3540633898 ISBN 13: 9783540633891
Verlag: Springer, 1998

Inhaltsangabe

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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Von der hinteren Coverseite

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.

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Verlag
Springer
Erscheinungsdatum
1998
Sprache
Englisch
ISBN 10 
3540633898
ISBN 13 
9783540633891
Einband
Gebundene Ausgabe
Anzahl der Seiten
682
Kontakt zum Hersteller
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Poststr. 9
Darmstadt
64293
Deutschland

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