| The Geometric Hopf Invariant and Surgery Theory 2017 Edition Contributor(s): Crabb, Michael (Author), Ranicki, Andrew (Author) |
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ISBN: 3319713051 ISBN-13: 9783319713052 Publisher: Springer OUR PRICE: $151.99 Product Type: Hardcover - Other Formats Published: February 2018 |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General |
| Dewey: 514.2 |
| Series: Springer Monographs in Mathematics |
| Physical Information: 0.94" H x 6.14" W x 9.21" (1.67 lbs) 397 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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, with many results old and new. |