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Surgery on Simply-Connected Manifolds by William Browder
Surgery on Simply-Connected Manifolds by William Browder
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Surgery on Simply-Connected Manifolds

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Description

This book is an exposition of the technique of surgery on simply-connected smooth manifolds. Systematic study of differentiable manifolds using these ideas was begun by Milnor [45] and Wallace [68] and developed extensively in the last ten years. It is now possible to give a reasonably complete theory of simply-connected manifolds of dimension ~ 5 using this approach and that is what I will try to begin here. The emphasis has been placed on stating and proving the general results necessary to apply this method in various contexts. In Chapter II, these results are stated, and then applications are given to characterizing the homotopy type of differentiable manifolds and classifying manifolds within a given homotopy type. This theory was first extensively developed in Kervaire and Milnor [34] in the case of homotopy spheres, globalized by S. P. Novikov [49] and the author [6] for closed 1-connected manifolds, and extended to the bounded case by Wall [65] and Golo [23]. The thesis of Sullivan [62] reformed the theory in an elegant way in terms of classifying spaces.
Release date Australia
July 7th, 2012
Audience
  • Professional & Vocational
Edition
Softcover reprint of the original 1st ed. 1972
Illustrations
1 Illustrations, black and white; X, 134 p. 1 illus.
Pages
134
Dimensions
152x229x8
ISBN-13
9783642500220
Product ID
21561021

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