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Více informací o knize High-dimensional Knot Theory

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• Anotace
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Anotace knihy

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. Bringing together many results previously scattered throughout the research literature into a single framework, this work concentrates on 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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Topology

• Plný název: High-dimensional Knot Theory
• Podnázev: Algebraic Surgery in Codimension 2
• Autor: Andrew Ranicki
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 646
• EAN: 9783642083297
• ISBN: 3642083293
• ID: 05281116
• Nakladatelství: Springer, Berlin
• Hmotnost: 1038 g
• Rozměry: 235 × 155 × 34 mm
• Rok vydání: 2010

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