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The Geometric Hopf Invariant and Surgery Theory
Hardcover
Series: Springer Monographs in Mathematics
ISBN13: 9783319713052
Publisher: Springer Nature
Published: Feb 6 2018
Pages: 397
Weight: 1.67
Height: 0.94 Width: 6.14 Depth: 9.21
Language: English
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.
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