| 书目名称 | The Geometric Hopf Invariant and Surgery Theory |
| 编辑 | Michael Crabb,Andrew Ranicki |
| 视频video | |
| 概述 | Provides the homotopy theoretic foundations for surgery theory.Includes a self-contained account of the Hopf invariant in terms of Z_2-equivariant homotopy.Covers applications of the Hopf invariant to |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds...Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists..Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, withmany results old and new. . |
| 出版日期 | Book 2017 |
| 关键词 | MSC (2010): 55Q25, 57R42; geometric Hopf invariant; manifolds; doube points of maps; double point theore |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-71306-9 |
| isbn_softcover | 978-3-319-89061-6 |
| isbn_ebook | 978-3-319-71306-9Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer International Publishing AG 2017 |
发表于 2025-3-21 19:48:38
