High-dimensional Knot Theory :Algebraic Surgery in Codimension 2 - Springer Monographs in Mathematics
High-dimensional Knot Theory :Algebraic Surgery in Codimension 2 - Springer Monographs in Mathematics
hardback
Published:
6 August, 1998
hardback
Published:
6 August, 1998
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Description
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.
More Details
| Type | Book |
|---|---|
| ISBN13 | 9783540633891 |
| ISBN10 | 3540633898 |
| Number Of Pages | 646 |
| Item Weight | 1000 g |
| Publisher / Reseller | Springer-Verlag Berlin and Heidelberg GmbH & Co. KG |
| Format | hardback |
| Edition | 1998 ed. |
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