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Opis

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.

Szczegóły książki

Kategoria Books in English Mathematics & science Mathematics Topology

• Pełny tytuł: High-dimensional Knot Theory
• Autor: Andrew Ranicki
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 646
• EAN: 9783540633891
• ISBN: 3540633898
• ID: 05274738
• Wydawca: Springer, Berlin
• Waga: 1172 g
• Wymiary: 234 × 156 × 36 mm
• Rok wydania: 1998

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