High-dimensional Knot Theory: Algebraic Surgery in Codimension 2: Algebraic Surgery in Codimension v

Ranicki, Andrew

ISBN 10: 3540633898 / ISBN 13: 9783540633891

Verlag: Springer, 1998

Beschreibung

Befriedigend/Good: Durchschnittlich erhaltenes Buch bzw. Schutzumschlag mit Gebrauchsspuren, aber vollständigen Seiten. / Describes the average WORN book or dust jacket that has all the pages present.

Bestandsnummer des Verkäufers M03540633898-G

Bibliografische Details

• Titel: High-dimensional Knot Theory: Algebraic Surgery in Codimension 2: Algebraic Surgery in Codimension v
• Verlag: Springer
• Erscheinungsjahr: 1998
• Sprache: Englisch
• ISBN-10: 3540633898
• ISBN-13: 9783540633891
• Einband: Hardcover
• Zustand: good

Über diesen Titel

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.

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.