| 书目名称 | High-dimensional Knot Theory |
| 副标题 | Algebraic Surgery in |
| 编辑 | Andrew Ranicki |
| 视频video | |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 1998 |
| 关键词 | K-theory; homology; knots; manifolds; open books; surgery |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-12011-8 |
| isbn_softcover | 978-3-642-08329-7 |
| isbn_ebook | 978-3-662-12011-8Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag Berlin Heidelberg 1998 |
发表于 2025-3-21 16:16:21
