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The Geometric Hopf Invariant and Surgery Theory

von Andrew Ranicki und Michael Crabb
Hardcover - 9783319713052
149,79 €
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Softcover - 9783319890616
149,79 €

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Weitere Formate

Softcover - 9783319890616
149,79 €

Beschreibung

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. 

Details

Verlag Springer International Publishing
Ersterscheinung 06. Februar 2018
Maße 23.5 cm x 15.5 cm
Gewicht 787 Gramm
Format Hardcover
ISBN-13 9783319713052
Auflage 1st ed. 2017
Seiten 397

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