| High-Dimensional Knot Theory: Algebraic Surgery in Codimension 2 1998 Edition Contributor(s): Winkelnkemper, E., Ranicki, Andrew (Author) |
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ISBN: 3642083293 ISBN-13: 9783642083297 Publisher: Springer OUR PRICE: $104.49 Product Type: Paperback - Other Formats Published: December 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General |
| Dewey: 514.224 |
| Series: Springer Monographs in Mathematics |
| Physical Information: 1.37" H x 6.14" W x 9.21" (2.08 lbs) 646 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |