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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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