The Geometric Hopf Invariant and Surgery Theory (Hardcover, 1st ed. 2017)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer Monographs in Mathematics
Release date:	February 2018
First published:	2017
Authors:	Michael Crabb • Andrew Ranicki
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	397
Edition:	1st ed. 2017
ISBN-13:	978-3-319-71305-2
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	3-319-71305-1
Barcode:	9783319713052

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