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The Geometric Hopf Invariant and Surgery Theory

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The Geometric Hopf Invariant and Surgery Theory - Crabb, Michael, and Ranicki, Andrew
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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 ...

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The Geometric Hopf Invariant and Surgery Theory 2019, Springer, Cham

ISBN-13: 9783319890616

Trade paperback

The Geometric Hopf Invariant and Surgery Theory 2018, Springer International Publishing AG, Cham

ISBN-13: 9783319713052

Hardcover