High-dimensional Knot Theory : Algebraic Surgery in Codimension 2 /
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'...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1998.
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| Series: | Springer monographs in mathematics.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xxxvi, 646 pages) |
| ISBN: | 9783662120118 (electronic bk.) 3662120119 (electronic bk.) |
| ISSN: | 1439-7382 |