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Algebraic and Geometric Surgery - Oxford Scholarship Online
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Algebraic and Geometric Surgery

Andrew Ranicki


This book is an introduction to surgery theory, the standard algebraic topology classification method for manifolds of dimension greater than 4. It is aimed at those who have already been on a basic topology course, and would now like to understand the topology of high-dimensional manifolds. This text contains entry-level accounts of the various prerequisites of both algebra and topology. Surgery theory expresses the manifold structure set in terms of the topological K-theory of vector bundles and the algebraic L-theory of quadratic forms. While concentrating on the basic mechanics of surgery, ... More

Keywords: manifold, K-theory, L-theory, quadratic form, surgery obstruction, manifold structure set

Bibliographic Information

Print publication date: 2002 Print ISBN-13: 9780198509240
Published to Oxford Scholarship Online: September 2007 DOI:10.1093/acprof:oso/9780198509240.001.0001


Affiliations are at time of print publication.

Andrew Ranicki, author
Department of Mathematics and Statistics, University of Edinburgh